{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spherical Harmonic Normalizations and Parseval's theorem" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "from __future__ import print_function # only necessary if using Python 2.x\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from pyshtools.shclasses import SHCoeffs, SHGrid, SHWindow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The energy and variance of a single spherical harmonic\n", "\n", "We demonstrate in this paragraph two properties of the 4-pi normalized spherical harmonics. We initializing the coefficient class with a single non-zero coefficient. To make things simple, we fix the coefficient value, and therefore also its energy, to 1.\n", "\n", "We then compute the normalization N that is by default fixed to 4pi in shtools. The variance of the spherical harmonic is the integral of its squared amplitude (norm) divided by the surface area of the sphere (4pi) and should in the 4pi normalization correspond to 1.\n", "\n", "$$N = \\int_\\Omega Y^2_{lm}(\\mathbf{r})~d\\Omega$$\n", "$$Var(Y_{lm}(\\mathbf{r})) = \\frac{N}{4 \\pi} = 1$$\n", "\n", "The integrals are easy to compute using the DH2 grid that has an equal spacing in latitude and longitude." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "total coefficient power is 1.0\n" ] }, { "data": { "image/png": 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NT3Tr+9h4h1pGWxaUgmsi96lh5tI/0y7Wl3BubmiHwV7n+RlKwKRDaaMr68qz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "correct surface (4 pi) = 12.566370614359172\n", "computed surface = 12.5661122277\n", "computed spherical harmonics energy = 12.5663706143\n", "variance = spherical harmonics energy / surface = 1.00002056217\n" ] } ], "source": [ "# Initialize the model with a single harmonic set to 1.\n", "lmax = 99\n", "coeffs = SHCoeffs.from_zeros(lmax)\n", "coeffs.set_coeffs(values=[1], ls=[5], ms=[2])\n", "power = coeffs.get_powerperdegree()\n", "print('total coefficient power is ', power.sum())\n", "\n", "grid = coeffs.expand('DH2')\n", "grid.plot_rawdata()\n", "\n", "# Generate an empty spatial grid\n", "lats = grid.get_lats()\n", "lons = grid.get_lons()\n", "latgrid, longrid = np.meshgrid(lats, lons, indexing='ij')\n", "\n", "# Next, compute the weights used to integrate the function.\n", "# This will only be approximate.\n", "weights = np.cos(np.radians(latgrid))\n", "dlat = np.radians(lats[0] - lats[1])\n", "dlon = np.radians(lons[1] - lons[0])\n", "surface = weights.sum() * dlat * dlon\n", "print('correct surface (4 pi) =', 4 * np.pi)\n", "print('computed surface =', surface)\n", "\n", "# Finally, compute the model variance\n", "sh_energy = np.sum(grid.data**2 * weights) * dlat * dlon\n", "\n", "print('computed spherical harmonics energy =', sh_energy)\n", "print('variance = spherical harmonics energy / surface =', sh_energy / surface)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parseval's theorem in the case of a random model\n", "\n", "We have seen in the previous example, that a single 4pi normalized spherical harmonic has unit variance. Because spherical harmonics are orthogonal functions on the sphere, *the total variance of a model is the sum of the variances of its' 4pi-normalized spherical harmonics coefficients*.\n", "\n", "If the coefficients of all spherical harmonics are independent, the distribution will become Gaussian as predicted by the central limit theorem, or it will be perfectly Gaussian if the individual coefficients were Gaussian in the first place.\n", "\n", "We illustrate this behaviour in the following short code snippet." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "total coefficient power = 41.5643328191\n" ] }, { "data": { "image/png": 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NprQYE7IAJBnuMo9Fr2RfmihLYhERUmCXd6RyY+o+jReecqZzvdVoU/V5ioup\ndfMqOV0D3UpbIGyVe/aJaDCjiYmwlWOS4DFhW0cmYRnVZVolrXNCTwy41blD1AmYvdJgNm+QxCFp\n7JHmLpl0KFxVZkGY4ocRgRNr5CVVKGXuEmU+k7RF2rSRNQssjVCM9XaEht4EeS1kWg+XBJIaS9q9\nyWeZ6G8aMD/2mNttTrwt7nupqr1yMhwvQ7gFlpeCLcktnUOPAhazEDmu6fway1xWlZlZrXMz0ahZ\ncCBQhCPWJfmmIAgjWvaQjjekJhQUaIDgFBdpgW0V2G5GWIsIWGgqUXSuxjJkTpsR65ywyx7Xecj1\n+BGNh5nqo4W6dt6HSb/OMGgwsXoM6bIgRCC10zXTcGyMVaaA6gzoalRqjSM2GNBhQksT4dRzN/lz\nlR2e0tbj1HAIqlHh8+SlN2if5uuYuXWmboMRbU7pM9A+7IQGM9kgygIWacAiD4nyOlFcJ575JGMf\nZrZaDcAGmjluL6a5fsZ27RnbPGNDe11NRgREFXgmKJXqKT3le6brjIZrJCOfdOZQxBZWIRFOgdPI\ncVoZXmdGuzYsoSfHSxEeOqlaLZOziGXAJG0yLLokcZ3ZWZ38NFATQUddpx0Q3ZjG+pBuMKBpj7nK\nYz7U+gJeK8G/HbOEe5aghyHDhFrxeyRl5Nlkcg46qTGjIWfUsjnhPMXSebK4ZjMNagyEUmVD2hWS\ngoqgZijI9SzscRr2OWa9xMYXBGUUBWh4y9GKvo6rB7HJFZpVJCIC5oWKIqMsUMQKK1f9aBeglW9a\nuMxmdaJZk2Tmkcw9FW264HRyav0R7WCES8qCkCl1Em1kFllImjo4VoZvJ7SdZY61zUjDJouyfQDS\nWq54AeiITRVCJ3gcscEBWxVmYKiZrpYmcEx1LleN4EBHzvOKUYnxsXT+V+XGopJwk+Ewpckxazzg\nBg+5yn6xwzhtU0iL0F/QFiO6DOgyoMZMR0iUI8/kZA2wWteVd0M6OOTaifGYFzUsClIrKSF7k+Mz\nif8uQ9Y4Zp0T2pX7KeEw1jijh0uChaTBlA0O2eKQDY7oyCGeTCgsi8gOmDbrTJsNJhV0Y1rGm/Wy\nnGJEW6EjaYM0dckyHzsT1OtT5GULLlMiDUVmqXExCuBUqJzaGfAIZVR8FBxnKO8t/VmOgu1OLTjx\nSE48EhP1eShS1TqwC2wn1NdG1OozOs0hjcaURStkPq2TD+oqnx2zJIPUCpyGKgfybZVTdnWBsuPE\n+F5E05/LV9ZLAAAgAElEQVTSYVgiC10G1Jli6Uh/SJtjPd5OWGNMiwQPn5gGE/qc6uerIv4GU2ra\noPU4ZZsD1vJT3FGh2qbZkHkb5l2feTNk5taxkHTlgMvRPuEkpjabUYsW+GmMTYGsQ9JzOWu38K24\nDARqzNnSsL3RSaaeVKV/4pLMVA0qALIyKfpOeekN2i5Py/yBTV7yZ+7Jm9yf3mR+tw/7qEFq8j0m\n72VyS6ZCvmuTxjUG2LADhatyE2NahMwRQITPlKYCFrIeg2mXaNIiPdUT4giFVT/T+zFq8DdQE+kV\n2P/qgvZrR9xo3mOXM7Y4oMsZLSZlVZFNhiUkiecx9RoMGx2G60qdLqiVkZNROk0mZVRpyn8b5XSf\nll5bjK/VWZcRLVI8fZ5FhYGkCrNzLMa0GdClEALXzXDbBvcWzGhwQp99dnnKLgdslR688RAzbKY0\nOUu6nI02mA2bRKOAYuGAbUGtwOrk2M0FjpNRZA7FxCU7c5DHDgwtNKvn/JJYJl8XopRMD1jPqW0M\naAVjfGK1ukjhkQiHeRxSjHXBug+JVVD4Gb4f4YmkhNGUUp5QcxY0nTFrnNLjjDpTPFJifG3WOpyw\nhsSizpQtnnGVx1znPjs8o8sAm4xUR3Cqv9u6ADsgwS8NXkBMUyMDfU5oMyZkDgjmhJyyxiGbPGOb\nQzYZ6gjsgK0STi2JOjRVJjBfY3jWIRuGEDlqnAc5bntOPZwSOnNsCrUcVOKSxyF5YSEciVefsdZQ\n2d0OA2osyr7JUCutCCkppEUgItpipHOCh6zrrPAGR6xxUirbkAUCyYwaZ/RLSHmdIxxy+pxyhcdc\nix/R3osRJ3qe1kFuwGAz4NTuMaFFRAAogo2qv8wwReYGrp9R58ztcuBu8YTLPOEKj7nMMRsMZYf5\nokYUhZD4iiQ1EvAQuIPaH6MMTAu4puYtNWBTYq3N8fyYLHPIpgEMXRhWiBcm5zfW5wo9ZvV1ZrV1\ntaqGIbtYYknOMLk9CxhaZGFIUbcp2g55zYXmiFpzQU+c0dIkuFA72CPNgK2W4ptifolgnSN2eUqo\nCRXKeM0ItPGoLri2XGQPrFRiR4W6j2fqfuwEmsQ0idmRJ6rthlNg0j6SJSN0F9yrKbVrp9Q357Tt\nEZsc6tSAwCw714onhNMMe5pjLzKsRCLyAukKZM0ir1tEbYdZoFztF8lLn0P73+QfZkybEz3pD9hi\nj0scyk0G8w7RPMSS4NkpnhWXE6Bq0HJhY1sZ2AW2XeDZCTWx9Fa6KCjSJmNBjSM2eMoOT/Ndjkcb\npPMAy8kJmzPqlhooVgZZ6hAlPoukRpELXD+j5s9pBGO64RlNa4JaekvlmTIcLAoaTNnkUJuJp/Q4\nwyMmx2FCkwEdxrSJ8JFYmMJm9GQ2NUEZLjb5Oc8/JKrktlRRZEBEhxHrHNPljICYDIcxLY5ZZ0ib\nApuahtG6DHBJmNLkHjf5DT7BP+VbePPNj1H8ug/3URPaEEvM6iqwNEYNdN4CZYyCAtyspB6LosAV\nKb4XE1pzatYC34lw7UzBohaklktmuWS2hefGtJ0RGxyyq01shyEuKROaPGWXh1zjobzGs3SLeVqn\nKCz8IMazY1xLQY+J9EhijyKxCJwFvdqgpO20GWGTsyAs8yApLiEL1jhRCpmHbPOMDgNcsvJ5ZJpS\nr5TKTGdSpjTyKW6q8lJCQObZzEXIjEYJ2Y5olUxDQ42O8ZnQ0P55nwFdEjw8ElqMy1xVjTkAM+qc\nsMYBmxyyyUmxxlnaY5T0mJ01kONAOXw5UJO4aws6/WN2gn1t2IYKkma5MolHTKPMJ89Kp8nk1SwK\nAmIaTMvI1iXROUkVdUb4gKDOjDVO2JIHdKIxfpogREHquszdgKmt8pUmT2lgMrPkmClzMYy4CU2O\n2OAxV3iLV/ltvpq3Dz9C9LkmPNCOZ8yS6m9KA/RKPGU9ZitDNDPwQOYuTHUu7wSVozaRlXGujLEy\nsKFR8Fy4hikrqAN1iahHhHXl1FFAntjEc1/l7FK9uGFNIjoLWr0RLX9cRjBmBZcUh0wqNmBDTOlx\nyiWeclmPS+VoneGTkOGUTtkJawzpEONh6+jJRH6GLNWVA5rplCBTbF8nyrBTsKurqxQgqjWFFmU9\n22LD4jBc40T0OaNfPktjZLvpkHY0oRbPaQznOFMUL8L0bQvSHgx7dY7tNT4iHn0wc2gtpiUL7Iye\nUlrJNYZP12HhQC2n1h/SaZ7SYIZDRoatSAS5rxLmmsigPBaVqTHFvk0mrHPMDvu0GJNjc8QGXQZ4\ndoLowpnboygsgiCibSvD4Wn2jkp2eqhJO2WbA67zgJvc4wqPWeeYgAUZDhMNmShDI6mxoMugVAQJ\nPodsknOTYzZ4whUGdDR2vYR+Yjxd49YkwsemoMmEHme0UNGLqV0rEATE9DlliwM2OCQgZk7IHpf5\nAq9wh9vsyx2iKCBwI9acE9oM8UkY0+Jhdo0nb92k+JSv1ph7gmKjNVAUYGO0zHpwxpCtJ9TXJzTD\nER17SN8+YZsDLvOEqzzkEk9Z44Qa85LJZ4g2ql4vqJAyoMaCTQ65zn1uDx4TPIqxTpXXnmx4nL7S\n4LP+R/m89xH2vF2mNHDIy4L8HJuJaHAarHHob3JW9Ihynz3rEqeiXyruUEcsfU5L9lWbEU0mJVEi\nxcPSOTCj7OuaFtBYzAmTDCvXKzlpY+8mIKKUdhaRyzG5d0TacDhtKyAvx8EnoimnNOcz3Bhyy2YW\nuIwCNXZSHK2UZqUX75KQ4TKjxoiOivasLZ74V3joX+Ne8yYP86vsH1wl3wthT5C+VeOYqxy7V5Ui\n7ebY/Zza5hmXmk+5wT0+xBe4xV0u84QeZwgkY1ocaVLHkC5nOIQsytVTWoyRCEa0ecY2e1ziiA0i\nAhwy+uKUtfCEXnhKSESBxVQ7cSPa+jxKbZmozERmVVp8oZ07w9oMWbDRe8rBazskoq0U8EOUYcv0\n2FzTY3MH6EtEkCMKiZw4yKEFZ9aypvMIZdRGKKNl63NsAFdRUd0VYLvAakUIOyePPZh6Khqc6t9Z\nQA1ELSfszmi7I3wUqWW5sNtybUN1f0uWqE1elpl0GdAWiktt6rsamspUhRVtchJcPfrVOT2Ssl8D\nIk1bU8S3GjMCoRxKr4jBh0XTYyKaTISCeBM8DSXO6BZDutmIII4obIupV2fP2eER13jMFU7pE+Nj\nk5eRuucm5K7NohkyX1MOuYCS1bjOMS1GqiSJBIUJv1Ne+gjtiewxo84el3iD1/gtPs5n+Sh341uM\nnq7D0FZe1FTCQMATAXuogZmjsO5Xga8rCF4bcqm7R4dBWfirGDtJSQxYEOoIqUWUhwhbEmrD0+e0\nTPqridjglD5ndHUiXhASscYJuzzlOg+4zgOu8ogtDmjICZaQRPgM6JUQlcotKWhpoeHVM/qcoe7d\neP51vVqKRVEp4vb0wC8wS2VVV6YIiOgxYJtn7LLHBsfUmBPhc8Qmd7jFm7zG5+RXcT+6yejBpupH\nk6gGZbwmLJPsEg3homCHDssC2UZCc2PAdvCMy+IJO+zrfI5qe5NJ2T9bHNCXp7gkSCGItVfnygQ/\nSQkXOVJAFFjEvo9TZLQGC9w3gN8A/jlKaeXANvC1IL8Zxt8Y8rnaq9znBs/YZkiHCc2SaWXIMBcX\nc17WGNolnl+txTIFoKDYgKH2dNc4LSn6XQZlHY0psI8IsMlZ44Sb6T3WPjeH30Kt1TfX/XcF+DAk\ntwWHzR5TWaeQNq5MacgZjWJKY5oihFqNaFDvlMSQDAeXlKZmiAXExHicsM4jrnKHW9znBodscSLX\nmOc1EulTSKuE9epiStOesGkdcok9rvGQm9zjQ8XbbD0dYj1BRSyWIizk2xbHV5o8sq6yxyWOWWOg\nx6u57yqrUtXquZjVIzNcBbfO1pg8XCd/YpMf2hQzS0U46yB2JdZmQqM3xPdVpO1oGH5ZzK+gTjV3\nQlWgMV9n8ngDnglVg1awXBmjhjJwQ1Sq4iEqdRCh3H+zio6HmgOmps1Ee2vAdVR64TJqRY0gUwto\np4pZKMKI9tqQbWefXfspm/YhbTGiwOKEPk+4zMP8Okf7O8iRp1CNeobfmVCrL9RYzBzSxEWIgrAW\nse4cs8UBuzxlW0PexpGydSRrygcuLgtYZbjONYHIIaXNmB5n56BngSTGZ0yTga6dNb8zc8aYYeNo\nGGfURM9qjsiSBWm4CdUaV8NEz7AJiEuDvcUB2+zzB8QvfzAjtEt/8gw+dMYr3/UE/1bMM7Z5mw+R\nxh4cOMp4naCU8AgFF5yxVLymvuXMIrrb4+5OF7ElsTdmtPvLAsqIgGHSYbi3Bc8sNcBrYF1ZsLWz\nhyuWSwaZYssaM/qcYlYT8TUzzVCfCyy+wCu8zSs45DSFUubGKEYEDOii6CnbnNIv4auAiAZTXc12\nWhYGG5aaIXSoOiqbAV322WGfHQ7ZJMWlwZQdnnKFJ2W08YxtnnCZx1zhgE1mNJAIdsVTLodPSF7z\nGMk2h3KTg+k28/2u6o8p51cFj3Xf5ij8PUIpZ99jcm0D+a0WN1r3ucVdbnGHkKhM6B+zXlLWc2Gz\nmz+lO4gQw0it+pGiRm4HxhsOx+4aY9o4VsZm74Ct/kQZ0psoj7mO8ppfg+w1wWnYxiKnzwkhC1XM\nTp2hdlRU7ZZb5rmqf29iomFDyLDJifE4ZIv7XOfR6XWSgxZSgrsx4+rGfV7hDje4zyl91jkuCRMd\nhuywj1q1U63n2FoskA0QV1AOwJDlKhcpSCEYig73xE2essuEBj4xfc7Y9ZUTEDInIuCUHvvscsw6\nCx0BGcjT09BfjE9AxCX2FDNTDBg5bWJ8PBLWOOEaD7jNXa7wmDYjgDIv+CvWN5NedvAvxazJU7bZ\nZyc6oPEsZ+sLIzZbn+XyzhPe5MO8wYeZ0CDDocGUbZ5pRqXLM7a4xy3e4DUe3nsVftta5rMeowxP\nijIYt4CvBrmmCpNHg46C5XIb7ILG+hlb9QONWGQ6Iqyzzw7P9neRT0KV8zKRWR1lJAvt9D5CXfsO\nyqilKGRhW815Iv1cjvSWogzda8DHgW8o2LrxgL44oykmLNdyTcocbYNZyYLtMsAjYabbmONwYq9z\nbEmkWb+xBr6f0HRVflu6giJUTFiDJql+3OaATQpsbLKymD7UhfRAyaYFVYtrVttRegsdOc1pMi4r\nZVuMUcXPvuauFIQ62qsxZ0aNoWYxntJnRLuE4/ucsqmJPg6ZTgHscI8bHLHJnBoOGS1G9HW+2mW5\n+pLQaZjrPOCbsn/G5U8fv9AevPQGLfthm7u3dvkn4lv5Z/KbeEN+hH12SCJPDVKzykAXuIGCArZS\n8DKY+XAslsYuB07U/yJlSYOpm9PtDdjgkDVOqXlzxA2JfyPWbMAxIREpbkm0mNAkx1a4sB6wZt12\nn7gsrw5ZUGAxosUpa2WkZRiJyiAtSsO3pDRLIkLM/6LlOkcT4fOQa0ohy6aurFdsIUdkzKjzTKkb\nhqcdGs0p170HfA0OLSYlA+2QTR5zpYxeUlyaTNjkgB2eUWfGXNR4JK4S13zms66a+PdYEm8clEFp\nqT63bi1o9EZYVkGRWXhhwq61V0K4A7qcIRjoiCLH0vVgYxUNFYXC5vXySNIBGQhkoP4SZt0+YSs7\npD7KEccgJ8AtkB8XFDuCg16HU/plFLZcBs14gIpz2GXAkA4Hug8O2eSU3jmKe4LPgA5nkx6L465a\n0QEQ+q99vNaEqx95k1f4Ah/nM3xUfpbrPCAgYihUzmJGnQEd2gzZSZ/RfbBAHKAUrMmtbOnN0LcB\nXPD3C766fo/b7XtMGpqDKGpl5GNYlNWanh5nJWEgx2aqq/9NUbUqU4mQWGWN3Yh2WUs0ockZPTXf\nsBnSKbmIA3qkuHgioSfOuMJjPlx7k4/c/Dw39vex9iS7ewO2L32KD+28zT1uMKQLSL2OypQYnz0u\n0WBGjMf0RoOT5IqCqV9FRf8T0DwZ9fk2yhiBMmaRqwxSXRJ6Kqd5lYescUqGTcguE5rsZ46a8wco\nB6yLiraaZlkZFBR4hDKm+ygnbQfFWNzQ1085vxTXNvAJifv7x7y69hZ9TnWhvCoKDrQjYRzVQ02g\nMsxDj5gUj0M2ubv3KvmnQ3iAgiSvSETdJo0dTpI+80d9eNtS7QO4DcG3jPjY2qe5yiPWOcbVg8as\nhtRlgE/EghqPucIdbvOIq5zRQyJKMpoxjianOabNhCY9TvUYMTlSjwyXKY1yYYghHaY0SHERFCU0\nb/6J4gHXmdDghHUO5QYTmjhk7IhnvMpbfDW/zSu8zSZHGgJ1dQTfIsemxZiJ0yC+dcqL/q7hpTdo\nf/z2T/IZPsYbD76W4oELPlg3Z6ytHyO7Zwx6G2R3fRhYsCZxLs9Z2znAtnKOTjdJT1vLKK2BpttK\n7PUZ7cYIX8ZYQmKq4JtM2OKAG9znGg/pMGRByB6XuM8NTukDlBXxprbpmPUyCarU9iktXZuzxaGq\nfysGBDIhsR2O2OQxl7WyV0qjzkwzOXMGdDiQ2yyKgFwvkTUvagyP++RPagrnz4E1EJcjOjunNJwp\nLTHiUv8JV3nEV/F5XuUtNjgiweUxV3nANTXY86scpZuMjjsU41ApVjdTk3vsKgP2WeBN1OQHpRhy\n3ZdSf/8MippHb/uMG9Z9Aj9ijiI93JG3uc8NHJGVNW1GwV7nAS2d97PdgtrujAU1DtnkCZd4yiVO\nWCPHpsuATfuQnY19OhsDJIIxbY7Y4IgNDYmY2jM0dVmtmNHW9I6QOQ45bYb6+T4oI7dCs7EcTfI4\npcez5g4Hza3S4F/mCbe4y03ucZknXM6f0D+aK7aegGIT7q5fKiObFIdDtgjdiOSVZzQvT0EIFn5A\nJBS06hPTGS5wTnLsA6mQBgGEEHTBX5sR9FVOY0JTE6PU/QqdgzVkDgUTtThgixEtQNBkXHrEhlRg\nxq6BfxW9O+aYdfa4pAu9XTxStjjgFb5AnRlAWUu2zw4zajzZOWBz57DMm6l/W1BoRaGjQ8OGNdC+\nS0YWO3Ak4Z5Q7Lk6atmpyxn2WkTQmIKA+aJBNq6rJde8gmB7yE5bEYLWOcbThCBTJjDP65CLJUPW\nrDwyBhyxzIG1UKzG7wCeohy1BOVorAPXQezkOA29cLMtsZsL+r0TukJBfSeyz1GyxfH+JnLhY/dm\nbG/usytUXtjoAUPY8okZ0uHzfISD3hajXqAe9nbBxtc85uPeb3GVR0gEDz96jU9/6BMMfm0L+cCG\nBURPmxx2N7lkP2WTw/IvpGzUep5tXSNYYOGQMqVRIjUxvoakleNqyEQm52by1bBcus0sdhDhY2kY\nck4NW9cjthmWCzbE2vhJBD18+pyxJQ5K598jIcLns3yUN/mwLhuJtZMtVSmKXOe0ULq13z8F/thz\n7cFLn0P7Ifnj3OE2vz7+BqZvrYMjaH/4gFvhHVqMVfI532Y0b1ML5my7z9jkEIeME/rcW9xi8OYW\nvGErMoMpIKyhIKtvklz52Nu8Zr9Rej9bHHCJPS7zhC5nKHp1rUzKAyXM95QdnrFDhkOHAdd4xDX5\nkM38iJpc4IpU5YTmijUU+zbHzR73uMEdXuExVzihT6IZiQUWY1plQv3waItsUFuuhTcRKjewh/Jq\nGyi47TrY61O1ioBd0K2f8mHvTb6Gz3CFRxTYPOA6n+cj3OE2hydb5IOQYmhRnDjqnIbddYia6Aeo\nid5H5Qs2UYbPLD4bAl8FfAu4Xzeh2ZyQzDymzzowcJRS2UpZv7LPtq1q/rZ5xhUec4u73OYOOzwt\n4ch73OQzfIzP8HHuc4MZNTqMuME9bnOXLQ7wSMocTXXlDrNCwQJVP2VyA03Uf8ipaqk1CizWOOYm\n97jKYzoMdd5ATUrzp61T6pxpduGcGi7puRoyA/2aIuqFzlPkOIRyQSceKaryLMUpVNRZuBCHFmdB\nmz3rEvvsMqRDQMQVHnM7u0v3YIaVF+R1m5Nek1Orx5y6Jg4s/zzUFH+PabPHru7N2xyyqancx7zK\nW7zG57nCY2qauKGWy2qUcGtEoNmRWxyzTkRAnSmbmvqhSEYKqjL5k7opfdA5rFDntNQyTQssqYrd\nZ0IvdaWXppvS0BHyFve4wUOuczTfIMdmrXbCde5zmScExJzR420+xFvxq4xOOgSNBdfaD7nNHbbZ\nxydhSoN9tnnADe4f3yC721Ljsinxb865vvMWV3lMQKSP3eFkvkaORRhENKwpBRYHwy3m97vkBw6i\nWdD/2D6fbP0TvpFfY4NDRnQ0cH6LZ+xwJNc5Od0g269TnFkQShqvDvja9m/yCX6T29zRRJmQs3Kp\nsrVyqTJTl2gW7a2yQqc0ypKdAsEo73BytEH6oKEiTwGsgX1pTnvzjJ53xrpQiyjc4D7XuU+XIQke\nB2zxkGslKccnLmstG0zLRQkGdDlkkzN6JHg6765We7HJS7g+xi+fv0dCgSDFwyVlnWOu8Iib3C8j\nSFPPO6DDM3b4Aq/wJh/mMVdYEJaw/lQ2eHx4lfRuE1KB99qUZKv5wcyh9TllQpPLrSfc22qQ7IWM\nPr3Fp50tFa6bGokU5gGcdK/w9s6ERn9MPZjSDCdkrzpM7A1FORuiNv2noE4jZt02S8E8Yl2z7hI8\n7nCrXHcvxaHJlF2ecqO4T28xRGSShQiJLR9b5NTknFYywY/0Hy37kPiCOHA5avc4pc8BW+VKJjNd\nXLzJEeavQMwqFwlqfUBro2DcaSFzQT1UqfZCCgZn60z2O2R7gfJCDyBPGuQ1EF7KSWZzd13BEiPa\nNJkQ49NhwC3usL32jMWa+iuQQd7j7NkaPA0UzHEfZYwMK+w6irRgofJlIQqC2dDfWZD+YpOzB01l\naAsU9Pv10Nk64bZ9h1vc1QQZxW7c4IgGEzIcHnCdh1zjbV7hHreY0mCDI+pMdc3WghP67HGpfBYO\nebnwdEBEoiemgR6lFNTEvCwuNvlKxb7KWNOszx5nZa6szqw0usoDzsvyBsNODYioy33W5gOCdEFu\n25zVO5xaaywI6XPKrclj/M/mcAry/+fuPXosO/M0v98x13t/48YN7yO9IZkks1yzqrt6qqsNpqcH\nkvYCtNIIWugLCNJaS+0ECBA0BhoNWjM15YtFJk0yM5k2IsO767339xwt3vceVktdH4AdAJGrZEbc\nOOd9/+Z5fk8I+it22n4XY7uKezTEP+wQc1XkhRmkSpQDtnii38eXbjFFt2DWHbmTmhEaZuKamZKw\nQJJLFsmREgfS1I6uTJiYOgPVQUFJSh9kHQdDZlzFWcUtwAEROQrWpFpWLOdFFzSSllcVJwNCcnDs\npofAedmk8tKOzoT4tEyo0UUdwcgDdZ+PshKzaBNJqQK+zmtKxMm7k+SZo4nY652xaimar4ZpWuUg\nTHRcrpl/cyovYzFRcdMnTJWSO0ZD8wmIghNWU2/5KX/Ph3yKnzaXLPKc2xy4t2jhl/tpYT4eBJ2U\n7sbp4CFAiy0OuM8TljmXu8ooObnnnqKxrpxwL/qMYdROiQQlYkwmNvKTOZ5o97lUFnHTxUCzdsVj\ndDz0uMErVuXF7aHLACcFEmRYoEyMEXZsjKxLY6TZuZpb4HX0GrmzFQZZF3Q1jI4dI6qhKVNG2MmQ\npkaYDGk2OGKLtzzgCz7kEVUiZJmnQtR6hme/16nc16e5Yp0j6UmcMMRJjTAl4jQIMkG3rBQj7LKk\nC1jTgiANypIvmqBkqa1n0PMQdVY5xc6QNBkA2cG26SturpILHCfXqRMkSJMv/8h98K2/0NJkLPVZ\nYrFIc9FPz3TTH7rpDTwMul4GbSeTkhNaChRhNPbRVDXcKWEyHLt02mpCjB6qiPl4Cvhgwo3Np9zl\nGWmuMFE5Y8WCZ84krzMfUkiOqxYaeZznhgSA9v5hiJ+OkOk6QdPAZTPRwiMaEY28kuRULkpFrpXN\nsrB8kwArvGo+acKOU6JhF5JmgCAN5pQ8nkiHaiTK663rZI5XGWecQi4cmjC3ckGCAgGaqBgcsWHB\ncAwURGyIYYmg/UqL+XSWQLoJ75iUynPUz2M0CgHGUwdqYooemwhWXMgOcTm+WZ5in2tjTDQmZ14R\n+CejaZSlMcTHjA2dzCSNUx8QoQpSijxGl3P5AOessM8OR2zQwkeIBvNk8dGmQYDn3OKMFaZorHLG\ne3zJTV7ip0WROE+5z+fm+5wUt+ifBcS+dEZ0CINjoUksVCSoNyyF6jcZXy4SFK3F+EzMIcY2Ysx3\nyQJ93KTI4qbHYj+L/+VQdAORMdyok3HPc8ESJ6xz6V9k/mEWGyPKxDmTVbKKSVivWcKLmuQx1ggL\n36OZpjCYozP2YWomPo+UastL3U+LJAUWuSQq/UMz6ouflkhz0GQm28hDxYih2kxpHBcj8hn9poUf\nA8VKoZgnaxla3fSYAd5mXYRX7lzWOGEpX0C7ks98SFzaEx1ss4wwA4woNGM+TpR1zlmiQJKqFBQI\nYotQ6bbxie7ZiNFu+zAkh1NRTCZjGzbHGN3fIWwXlpTZLljQWkx8tIQIy2NyeHdKJTaH6hgzxsYh\nm1Ip7CbHPHVCzBBedkaWSX2AAwUTFwNG2DhgizNW/mAELbqs7tiD0ya60lkHIoREMJ1qNIwAfcVF\nUUtYlqDZf16JMPPSoU6QIza4Ik1uOs9U0UioRdljH1mFhDgTNLZ5yzXbG043VzneXKNiRFEVg6Qi\nioMoFQa4uGCJL3jAL80fEqHGtvKWFU7x0pVMWSezoGBxoQll6BSNCFW2OGCFM1QMTljjCx5QJkaB\nJIq0qEzRqUyjlDIpxsce2RGDvtljaemYphpgmXPrQpuJUvy0iFMiRc6yJMwgzh08hKizwSEORoSp\n/tO90N6yRZUoPdyoTPHTJqLUcDr76M4p/aCQ6ubWU7RaIYyxjuoa4fZ20RSDAS5MVGzhHuNVFwzl\n3H4FAukqackZiFGWq1uHJd3u47bGVVnmuSLNMessh89JhzMSm1Uj3q7jzE3FyE4D0y74pooBU0Wh\nZRb5Y98AACAASURBVPdxrGzwnNtcsii7hG/ArxqGRYaPcCLn7kLROMbOERt8ykO+5jaH401qthCr\ncrRwz/6UxG6R/PYclW6UbsNPfm+B0mQOVRXUgqmmYqgarmibFd8Zq5ywwpn0f2k41CEpcqxzTEwt\n00r42U9s84Zr5EnJw8dBjnn20rv0v46IceQrjdFRUFweA4RIZw2818okvXnRSRgKHlUovlSmlInR\nxSMUf7SYEbo1psKacXYDmhDwt/AHmqiuMROnjqYapMixyx67vGGTA/wSaFojwlu2UWYG0BAo8RHu\naBNdnaCpUwFJlqOR2eUlDmtBwi0Rs8Y9fpqsGqcsjDMs2S7IqXP08OCjzZyZx2aO6Ow6aDvd5B0J\n2XEH0ZlYh9eM/alg4qVLj4683Fbk4R5hjM1Sn/Vw01U8aPqERfs5m9ohO+yRoISBanWIs6W+8J05\nrA5uJgywooDsArYdocYCVyQoMsDJMetUCaNg4pcGfztDqkS5YImqtAEE5LhptvifxYcMcYg91cgU\nANsAjPw23JUxPAY+ASqgrkP8x216H+bI6vOyGxRiJjd9aedooGKI1YC6zklgjdokjKKaBFThq5qB\no02gj4smAWY5bTXCNMwgnaGH9ihIuxmAuo6h6lypK/SjToJ60xJO3OMpu+wRo0yVCM+4wzPuUZwm\nsWsDSzw1U38ucc4Wh/hoUyXCa9s1nnOHw9EWzUoARQGnp4fP18HnEAf4TDrvlgXEP8TMCVl8R4IA\njtmgMo3i04UXdkaln6BbaQ0eunTwWGfNMuf0VReqFGWEqElqjcEiF0Socqhs0MbPJYvWPrVKmKoR\nxTBUfLrAp8/sExpTwtQ4YwU/Lfo4uWSRM2OV2jSMajMs8dsQO52xh3HXKUkrBrboAJ+nRVgRRpJZ\nRJPINBTjy1nqhIJpidwEtnJg6RAa0ovYx/VH74Nv/YX2NXdJUJQs/ZpFyZhF2M+WnUv6BUb4CjDp\n4aEwTnJ5tYZpQmw5z4P5T4jNl+n9M7cwexpx1InB4XiLkp5AVwQYc1a9zMgc1kssfxEt/GRJEaZO\nlAoJiqR8WSJbNcbo5JnjnGU6+AjQZI48OhOuSHPCGhcsW4eQAMoa1pJ2lts2q0LbBOjgpkEAnQlz\n5EnYStY4I0+SKZp40NVz+j4XB84tDhu7TF55xCUTQowGowbGdOYjmeKlS5KCdbDPRkgZ0hTlCKQh\nVZ2zUV6hlaSf94sxbx8htpnJ96uIUa4LOjsx8h/ZuHb9OR+oj9jmgDB1BjioECXPnLXnWZCWgl3e\niKVzckpZm6M99HGRWcEYOMBvEF+7JGBv4qRPgSQ9PBbt4DqvGSs2BiknX1UfwhsN89xONx5BTw3x\nzjeIKFV22WOBKwCuWOAZdykN44wVG7p9gld65BbIsKqeknLkcNG3KnEHA3LKHG5P3+ryBpIAAwKw\n3CTJMevMMqNmwbLCtybSeFv4aOK3/h6IrmiZc+K2Evd4yoc8Yr19DqpJ1pPgigW68sIV6rBv+IYz\nO4KNsbWjjFBhik6TAK+5xlu2UTFkYWhamVWzvaRPbrtmO8ZFaaaeospPOSzUn4TJpueJpKuWZ8nJ\ngLXIOd7UGB4APmhtOOmkvHR0jxRJ1ThnhTfs0jID+JQWcxSIU8LBkBB1FrnEoQ/lPlpYHjx0aBKg\nREKqMUPWrqkwTdBohMHQsNmHeHwdVJcwv7udbULqNyQVU+7BW/ilkKZnYc+KRpxGKU5zFEU1TVS7\nwaW3TdkXI6ukiVFiFiN8jTfM27PUUmGh/pvEqOQSGC0HqAqOSJtEIIduE7iuOiFMFFEMkSdGiVla\nhImCx95lnqy0txxLapDYE2eZp0mAC5bIMQfynVniQqpTvTQI0cGHhy4qplW4lIjTk9SjWQaegYpN\nHdMzPNTMCNVqhGnNBaaJzTtGd48xFZOpqaBpU5yOAR6taylhC+Mk/Y6L6VQjvJZjYTcjd9EXFjln\nprV1McArBXZLnBOflulrTt6yw9fcJksaBwNS5IlQpYebY9Y5YJtzloD/7R+9D771F9qnX/0AT6JH\nYv6KZe2cEHWcDOjioUSCq9YinUKIcUtH0UDzTjF0lWHLCW0N3DBK2lGcphyliDFC+U0a87FO4RzR\nsdkRst2b4LjRIBysYppgmip+vcmcHOF5JSB0htSdpVsP5ZIdOdKbyWRnfrE4ZdY5wcmAqqRRl4kx\no6Q7GTBG54Ila8emMbGkzxsccZOX6Ezo46IqTawh6uyyzyqnTNB5a9vmyY37HF3foDX20zEE3c1Q\nVSK2KsucscCV5WmbHYDxQQnHyGBgs9G2eyhoSY7Y4An3+YSHHBa3mLz0iR1al2/Gt1mEj+jchEod\nBjVQXHTXUjz+V98n/9/M8UP1V6xwxiwnaYUzQAB9z1ixVFZeOvyJ6zeoiwYdvByzzvP+bcpHi5T2\nF/lqw0bP7WGBK7lHwjq0T81VDnPXICOiNITKTWVSdNGw6XQ8JQaKAE43CXDCGrlpCrs6YtF2iYse\nNSI8H9zmUfUHOHxdNvyHrHKKnyYiXmgsaeVluXsTSjAHQ6m8FHuFCTohaqxwzuLkEoc5pGkLSA9R\nUlJfBpSIWyrOmQhpiQs2zUPWMxm0PRPaEHKdse0/Y+pSwa0wDtmoJbwU1CRVwlyyxB67svtLEKJO\nihxuqdBtEqSLR353grU3G/kdsc4UHY0JAVqkyZAih5cOMzJ6mqzsLISEO88ch2xIFJdQQ048Ov7v\ni275iA0qRElQZFuOsaZoMhUjjYFGaxTgbLxKpZqEsUpgvsSW84AtDtjkkF3ecG24T2DYpe73csya\nVFeK57lAkjNthWIkzhj7N1LzsU7A1mCdE1LkmMh36ooF2nhx07OiU5wMaeHnzFyhduWDGqjJIZH5\nCn69xdBwcKatUCNsGZpnfq0KEdqmn37PhdM9xB2sEHcVWVbPWeacAE36uDhnmSzz5GXywBgdL12C\n1Fnigi4ePHQkSciHAHaPLLanMMQnRNHACTHKBGhY8nkbY8tLpjNhniwLXNEgQIUYZyxzyBbtnheP\nq8eickmKHCPsnETXODJ2GJ17GZdtjB2Ax0CP94iES8SUMh66VgGl6AaKz8SYqrgdQsW5yCVrcqo0\ni3r6JpVEx0BBwWCi2SyLkoKIvRHxRw45GYiQZ44s8+SG83/0PvjWX2hmx07HD+oohuESVbKJSmUY\npXqRgreaEDGUsczQpBGetJQJnjH9nosL5xI6E6JUSJOhvBKnWk8LlaATiI1xJTs4wkM83jYeVUiV\ntT8QH8wWyWmuuCZHX/FWA0M16TlctHQffqVJlDJ9uY/o4Wafbb7iXd6yTQ8XOlMa4yDFFwuYT228\n4T6/2/pTXNttwokKHqVDmDornDFHngWusDOiTohzlsmRYozNyp0aY+OIDUnTC4qxmlKmbxdz9X12\nKPdiNJUAl7Ylung5ZZV5Muzwlg5e3jq3aTu9jCUvcIpKlrTwtRESndLMUF1HjBz3EWOmVhVxw4Vg\nIQU7Lvipwtw/P+cj5de8w1dylOGypOUl4uSZsxRYAuk2trx8McpsccCy65zCzSSFSYKxZschgVgJ\nClJWLDohOyNs/j7DTQeqfYI/VsejdwWRf+zhqrFA0Uhim04wRuLgww52T4ee6mY0cNHr+eh33eAy\nsQe6FM0EXcWNly4RKiQpWl3OEesomIRosMAlMSpyDyO8hSuc8X73MdHDNqYbTjfmuFIXMFCIUgGg\ni5sqUUBAuG/znCQFPHQwFVN0vF8AedA10GMGrIH9vSnNmIue6sZEZZlzPLJY2GOXT3jIY95lBvMW\n5uwRMUmJmQGsxR5NtQz4WxxatoVzlujisbBpM9l5Vhq5R1IEIoQNwsgblZ9BhCrzZEmRI0iDLPO8\n4gZv2GWCzm3lOYv2S6Z2jYwnTQsfCUrc4CU3ecX24JDA0QAlA3ggcrtMy++njxunfD48Uqpekwfh\nK+MGl19uwYHCVczk+P1N1sLHmEChP0d/5GI1cIqHDnFKLHNhodc27EecvrtKkwAKBk5EtJOJiNyZ\nMf8n2DhjmVPWqBMiolRZ8x9jZ2x16xUiTNCJUCVA00LqzeAJB+YWvYELJgpO54CQrY6Lntxtj4lT\nZJUzwlQtluoVC0zQSZEjzRUORpZatE6IEnFOWLPk+REp8/HTxkClSJKr/iKdcghtcYpDEQIjhzoE\nxRRn55V8tzWVic9Ldn6dwuYi8aUrwkpdXLTKiI4B7boINZpEdSa6Tp0QCYrWpMcnC0ARveSjTFxa\nTOrW781gmSsWhejEDFLoJukUwkxzNgEs/yNf3/oLjZCBHhyhmCZd08NAkZ2QDbzzVSYRO6Obdoyc\nG4vd5gCCQsZuDG2MjgJc2HwMrjm57ngtEFG2MThNWFdI3Dhjw36EiRhFlatxuk4PIU8dFYPsZJ7X\n+dvQ1NDDfe6nvmSWGXXiH1vt/Uxx1yBIjhRD7ESoEaXCPZ7iZMAFS2Jpr7oxTZvocN4oDJ94GP7I\ng/sv23zX+THv8hUrnBGhao29sswz4JtMNjsjKsQ4ZsNyXNUJU5gkaZ7HmeR1Rm0704FdXPReyBtr\nYtfngODDPH/p+w+MsNPFwxEbDHEQoYqdEecs8YqbZFpp0CeQsokojC5CVBNGqBlzEbBHYAu4D+qd\nAesrb/lQfcRDPuUab/DRpo2XAnOcyKpzgJMpmlVlCn7JlSQOjK3uIkqFZf3cSgQ/YoOX3ARMKxAw\nrWSw+cZcehYpN6J0mj5GdjuabcKw42Jy4GHwVIEXCGuCQ37/akjcxRqwA/xkytzWBYaikHu5Kgyu\nEZPIdzLctL+UP4cwcAepo3FCH7eVBXXIBnlSeOjy2PMut+68IE4JE4UUWR4YXxDPNjENhfOFJE/U\ndyiSwCcVnyYK7vEAdYIozP4FdJbsXLrTtO0+bLYxXbuLPXbYZwdQ2GWP67zmOm/IMs9btnjLNies\nS2MthCUzFLBgxzO+ohhNCbl/njn6uGQ35GGOPDd4xTZv5aVeoIdL/rwxWYyo1tTAQKOLmwk2LljE\nS4cZa3SbA/LM0cbHOUtEqHGd12xwxCYHxLo1hk4bWeccp9fsOLbE/rOoxzhnmRoh3PRZ4Yw/NX5B\ntNGi43Xwmf19/rX6LxncdzLYdZNyZFlxnmFnSIkYfYcbm00Ynl9wmzphlrhgniwh6mxyyBx5zqWo\nJ8MCEzR8cpdtx06dsBXb8w2pY0pHeq1msvjZGTAbcc5CX+fJEqDJQHHQcfkomgkygzTVWpRaOMzI\nJqJW6oS4YoEEJdz0mIXMzv5s4cfBgB5umXkQk0IbYSmyM8YvM8/C1FjnmFVOKEZ+y3FknQxpqkRo\nEGCKRjp8QfP7IRrlINNLjzB7l4CRwjTiwLYkTON1I8zV6TrjMzvYVWzbHUJ6HTtDunioEkFjSoAm\n7j8QzcxS0EWUVERK/6fWBEDFwK30SHsyVBf7FM15zI7jj14H33ofGi8FgTqQqJOwFXEqfWpmhMz+\nOuaJCjYTfXfI3MIFXqPLcOpkaDpQNQO32mVqanQmfgZTJz5nkxX1jBA1GoQ4GG5ROF6CggolA05U\nyChCln4flA/GeOJ1uuUA5r5DVMxrcP2dx/xU+Xtu8QITyMuOaY48KXI08fOCW+SYJ0WO9/mcBa7I\nkeIzPuAJ98mSomQmKOaTTE594v/tBnWjz+rCIeuciJ0ZRZY5Z5VTvHQs+fksI2p2yA9xkCPFx3yP\nwv++Ck8Q3ec1xCjVwSxBFIqKqMhcYNsZYpsbMS3qTDI6yoLJzXce85BP0ZlwzhIZFhhhF0XF2Ett\nFKJaiGGeusTY0Qf6tS7JZA5dH2PXRywpF9zlKRscW1lOc+QJU6dKhMe8y+/4Hs+5TYUYTgZsccBd\nnrHKKQOcHLLBMRu08ONkgA+RMj1BlyCwIFN0QtTlgdGgSJJHvQ8p/WwZPkNcvl6EsvUcgT3yAw+B\nH5vYVtoYYxXTUJlPZbjtesaackoLP3vGLoVJEq/WZkHLyM9fSMZn3fpsYjBBtwQZs1BRQBrrBZB5\nmXOSnTLOtsnICe2Ai5bqE58tJj6zQ6LcRN1D/H4C0Pm+jc/975IhTYocN3hJqNEjE4yzxw4DnCxx\nwfboiEB9wMijUPBGecUNfs6f8R/5CefH22j+HrG4QBP1Jm4UTOb0PCmy8uBuWjueHh7eyL3bCLv8\nd19xh6/ZMg9wMKCgzFkqQpE44JJ+q5jlA/z/eg59ozYtm5+8kpQ0EaHaXZqekzppCmpHGHK7QV7o\nNynLkWwfJxcs85YtOvhY5pyHfMKO8ZaqEuY3ykd8zPdo42OLA3bYl6P9CCPslsl+Fo46xEGApiW0\nmO2RZ0Gws/WBiZiwCO6qiGKaGZZLxHEwZJ4si1xaYgoRAZS0yBcAp6zydfYexrETxWGgJqcYisL0\nwgE5YQRXlic4V1okwgUWFPmsUJBEEJMwdTY4IkmeIgl+y5/wW35AbpoipNVIkyFGBY0JIylsc0nx\nTZSKZY/ZZ4caYULUWeOEOCUGONljly8b79F7ERX78Rh4Nip4fS3q9TCjz4LwSL5PDyD+1+e87/4c\nJwPLiiREey1pERlZjsnZ5GKOPCuItVGeJI94yBPuUx+FcNlFfFelEWVwFoa7yj9NH9q/uvE/WQe3\niIyI0Zl4Mcua2N2MFSaKi07Ux5r7lLhWsoCzMxpCW/Pxglt8ffA+mfMNlPSE9LVTYo4y7bSP7l4M\nHmviwBshKvcMmFWV+EqJLc8nRJcrFgpr5gH6Pd/FwRAFkzY+nnEXh/RZzJNlh32rEhGjv22+4h0+\nHTykuZcQiksfKCt9QvEqfr0pVJxUrcMgQJMOXp5yD52xII7I4aKKQZ4kFyxxwRKnrFD4ZEV0fVHg\nXVBvdzDqTnikwyugJ82ZUg041hyMTcc3AFfTpGqGySrzhKhbZtw+TraUQ/6F/d+wa9+jvB7nZ+t/\nzhfGA5zKgJvKS+bI0Za4n00OuccTNKbssUuJBBsc8X1+x6JxgVftsMmhtC/olIlxxAb7bPP3/JTT\n8hqjig88U7zROopi0m34MLpOVE+fULyGT2ujMZEdgU6QJlGqTN0av/pOkF4nKD4LB98QI6p8E3Wj\ngjfWZsEpdle3+ZptDnAyIMs8IbVO3y4ESD3cNAngpUuaDCHqEjeWpI+bCNV/cDDOQMYGCmViljKv\n6o3g8vYtNFeAJjGzjKs3ZOS00Q7ZCKTGoovMgveXYz5afwRhBaVvonTBTMHYtOFW+hKMXKZl9/JV\n4h7PuUWRJCN5eO+wz631F9JgfUWNMPv6DkMc3OAV9/mKFHm5uxG7wAO2OWOZwiRJ5miDlwY8WvmQ\n6+7X3FJekCaDJj16szikGYj2Bq94n895581r1JcmOEyUZfGsKRUIvx6w/LokDs0lMB9C967O2UaC\nybqNoWKnLTnxM8GKiUJSFnZtqZQskiSniomFhy7/Jf8HUcqAYoHMK0SJUWKHfXZ5I6kYHsvrOaP3\nfyNA6VIlInmLqqW+bRK0zPUOSVU5Zt3qrC0/G056ErobpsoGR8xCLXspN8VEEpUJY9NOIx8FhyKK\nTR3MsU4/F6bsmDLnzUtDs9vyQCaltWSJC2uvVSRBKZNimtZIaMIEv8QFPlq08XPIJp/wkC5eIlRI\nkecab+hJy9AM3yeUpz1hng2A926Fbe8eEaUq1gQhH/U/D9P4KMiwbycUrLOpCvP4LLYo25+n2/Kg\n6QLZNx7YoetA9QxJzV+xyx4BWjQIUifEGStcssjAdBK3lVjmnBgljKDG9LbG//lH7oNv/YW2xLkc\nZ0TlQxpjOtXw3CvTXfLDvgPKUP/tPJ/dC7Ce2Cei1OjiJm+kyGdScOQSZPaXgALmh3YKgQWmaQ2b\ncwzvjOFdE5u3L6DHhy6ogeLGcsoXzCRlI47KlKhawa30LIXhOsdiL0eMM1boSKBsnCImKiVi9PBY\nxlVFATKqOLRSJnrEJGSrW6rDMFWiVISqjhTPzLucskpEqXKHr9lhHxsjLlniJTd5Ob1J4XIJhhqs\nDPDdbWJ3CrrDZKzT1Qwm33PDsgb7ijjkU8CPx9zZ+JJ5cgylBHyIHQONSxZoEsBNl0UuyZLi1Fzl\nP/ET9pRdunh5Nr1D7nIJR6BDNFy2DMozVpxLdlVpMkzR6eDhGXcJqXULobNj7BFtdMkHg3jVNjlS\n1I0gw1M/lBVMj0qrkIC+YlHPDcNLeeSjbANuw3d3/jO3ec4SF1ZsyUZ8n4O/2mJQ94M+xeHroqlT\n+sUw5ktNGMDPFZrxGKnNHHZGtKRYZJawvMYJIWpM0dljx5L2z3Y4fxjHoWCSl16rMTaSFNhlz1Kk\n1QlxwBZPuWdx9Pw0BQVd8eH29OnjoKUF8G22uRY+wPkLAw5A7YP5HZPLzSht/CimSC32m8KXZSgq\nDYKUiVKQhJkhdvrS0BujxCZH3OAVfVwsSEHEw+GnJL9sQQeMVYX6ppOcmmKKRowyy/o5lUScwWWQ\nQcPHyGXDpfSsbqdEnAxppmjMkee25Lxc77xFbxqiSBoDNigtejFWVOJ6C7WN+F0uAjHQp0JhWlbi\nHCkbXLJIDzcu+tgZMkIkgNsYWx3VEDtNAkSZsMQFcUrUCfEl7/GKG+hM+JBHrHFCUB7aVaJCWUiH\nFHlWu2e4X5qwh9gLb4D9z0acOYUH7XbnDcHPemJ3vAbjGOh9UDpgBOEsluSVelN6S0Vnep+nxCkw\nJ7urc5bIk2RdOWJbf4uNMVnmOV1cRV00WJcEnFkCh4lCkDq6FISlyFtm+GPEyLBOiAuWhCdx6RK7\npKZ8xTs0CfAeX7LMuaWcHmFnmTPu8JwwNQok+Jq7FEnQwSs8qabCdGyHMWj6BLfSlWCDJivKKXZt\nTNMV4NIl9l6vJjd41PiQ6UTDF2oRcVUJu2p0TQ/9rguHc4h3Xkys7vA113iNg5EACJj3KZhz2JQR\naSVjaRTmyXGPJ2wox/90L7TX3LAwQypTKq0Y3YsoqKaEuhooDhNFM5kUHRyq22j2McNSUBC99xFc\nwjPE7mgdiMFyWrzgpkMht5ySh5WPRi3IyOOEEWgucejOkWei6LRKISaGysr8Ge/yWOzXmKdGmBQ5\nfsiv0JlQJEGOFL/iR7xli4vJMmPTjqpMKdRSjD/xQcNEvzdk9/ZzidcJUDaE076sxDhXVhhJmGmm\nsICqGQTjDRwSE5UhzdfGHY47GzQvYnCliQ4k7MS432HNfUJUqdDXnAycLvpRJ2eJVZqVJOwpYAcN\nE5/0ysyiT2YV20xx5aZLTXqmXg1ukB/M8da/jV9rYdPGbK+8wk+LFTkWFb6wMC+4xee8L2Nvupa3\nxy33gWNslIkzUW0QPEZXREV+nycE1QbD98QcvUmAF9xi7+gWBG0Et7KEnXUuj9eZ/MIJr8G2M+ID\nPmOHfV5xgxIxTBS2g/tUg8LMO9tjDPxOfjf3fVr/Ngkd0O0TwtQYY+MlN1Ex2OSAh3zKPeMZS70r\n1Cnk/J/yUrnFIZsUSZCVRt0Zr25G8vDQlYT9gZRbpyyBxJwcF5lSGLJunKCaBhUtQomYHM0IVezU\noULMABtM7qg8XbrGGSvEKbHLHtFcB3VkoEqkViPkYmh3MFFsUoghkGxTPCgIRanY87b40Pyc+WIB\n+wkY8/B6bZ1n3KVMlDF2QGTPvcNXqOEpzybvMOq66Zg+ykocDyKZcZZX18dlBaQuTy5x1A1rjy0x\nkDRUIShp38mw4c2K6YoGShecWXD4e6jRImObjsbUUiW66EvCxIgrFjhkw7qYbIzRmLLPjiXWqRPC\nxogNjrjD17KY0iTaKUSToNX1LU1zmLkByjliauGGql3QfDp40b0THt77Es+zEbwBmw0roFbVYXWl\nQGC3ScDW5JQVenhw0idAS6oRm3jlzrVGhBxzOBiyyil/wm9Y4AobI4pSJDWVNOIGQfmMlLnFSzQm\nXElE3iyB3k+LHfaJUWaCToY0CiY3eck13lhk/RmvccbbzJMU753c+2VIc2yss//4tphSrUL4tuj6\nhbJVSD2GOKmZAo0VVSrYtBHNVhTz1Elr0Y62ZNK4imC+cEDAJPZ9kSGOobA/3aWqRXCoQ96a27x6\nex/jtQ3ioO90sDkHDEohHOEmfxH+f/hb/h2CiP7///rW79B2jCf0hh6mU51iK8G46cHuHeAIttEd\nEyI24S9KUpBijDnKxLksL9P/IghHyjdeqSawbOL/uyp/sfjv+YDPCNCihmArZkljArokSI+ws8QF\nD/iCdY4tasCsRVeZUpG4Fx9t1jkmSpksab7kPZ5xhzNWyXfmGA9teL0d/A4h30iRY5u3xChbDv/9\n6jV6zQCmCY5gh5XwKRvKES56XLDMq/YNelcR0AxwTaBmh2NFSOmFS1H8OWfieVjhHf9XzJFnlj6s\nYlIlwiWLqBjssMd13uCnxSwzafayzBKRAfLM8YKb7LNLniQ1M0x1GKOVD2K2neCc4ktUWfMdkVaz\nDHFwxQJDHBIfLLxGMUqscI6KwSGbnEzWCGs17itPiFLhgiWec9sKWF3gChOFL833ePnFAzgB/f0e\n99e+wMGQl9VbDBp+7q894l/yr0mRY1+KJRwMmSPPFE1G5SQBE6dU6x32t6hfJJgoOtHlLBuOIwvJ\n9BG/5t7la7Qe5LcCnChr6IyJU2KIk9dc50ve45BNBjjx0yT8B2gpkV83kEKXKzY4ImEUGahO+X3A\nFgfMv62h9MQIceAD5wDGNoULf4orFiz15kzRNkWz1GQqBknyXMueoj4FTDB3oLLmoau4YawxwEHP\n5mKs6pa9YYyNTfOQzf1LlC4c3U7zG9uf4GDInclzNMNgz77NJYtSeD2hSpQWPkv518ONInFGHsSk\nQnQ+XWuMtcopG90z1BGchgTY28GQLQ5IXVRRswa2/AR1AMYOnN5N8YJbckrg4JJF8szhZMA6RwRp\nkiHNV7zDMWuomCxyyRIXRKgQkBSOMTbOWeaENcborHDGqkxDEDmDYSlGUgnR4C7P+HHrV3ifBWbR\nQAAAIABJREFUjsQZ4QG8ME5Bfi5GU/Ox0s3i/WIoimIPmNvQX7dT9IWsS71KmMYfkEiEiCvFFYsS\nYxakgw87Q7Y45AM+Y5VTGgS5YgEXfVaMM+pKiH+j/B2/NX9AXClyn6c46VMkgQgVqdHHLUVnDuv5\nqBBhhTP+GT9jh31yiM9zBk2fxSTNxqs+2mJPzC4/6/85Fz/fgoyK/mDI5r1XBJQmGeYxTI2EUmRg\nOnmbuYaRdUFUJs9/pYvPZA3Be/0Y+DmCLftfIADQZ4jiJQ5cm4J3Cjk7HMiz6gOT3a2nBCV/Mk6J\nW7zgf1b+x3+aO7TL2jLdTyNiv5UAx5/VuBv6mvx0jvNPd6n352l9GGDH90ZAZSdefFqLdPiS410f\npq5D0ERfGuDytUj4ilzjDQtkUKQR8b3xY9yjgZCw6lCzB3jNDV5ygw4i6j1GidvmCx7WP6eje8h4\n5iloCUtx9Iy7/Jw/JUbFwiaFaLDI71C9Bj2vBycDyXG7RMWkQoQeHjY4Yod9spF5Po085EnlAeOB\noEzEKLPCGbvsseY74eXWTSr9KC5vH9dij/FtO72ei6mi0VfcNE8iULUxyrs41jdouf3WnH9GZo/L\n+IY4gmG5xjG6OaWhBBjgJCCpAC3Jq/fS4SGPSJHnMz4gT4rmfkIIaJxAUKNdi/O8F+e5CwiNUFwG\nvniDuKtkmVtzzJMnRZ0grwfXaeQSRFJ5TCescEYbvzVymVXkVSK0FR/B9QIkbLhiAv90m6/5KPJr\nriJpJtjIkbKiKGZYo1mXaQIqBm/ZptoOk/Ll2HAdUNmqkemkiTnKfI+PucdTK/6j63bh6/cZT+0U\n9QRBs0GgdkokV2Q1nWE1dMoBW9QJ4WRAjDIOhpZ3aLZP+mD4ObFMB8YwdcCK/QI0BU2fMp6DltdN\nQUsK1aSnjosB56zwCQ/p4GWJC0lXF/vbGWl+dtkNQir6+wodv4OcQyhHo1SINetoY4NJAIreCGXi\nVpdWVBIkl0p4ugNMQ2WVUxaNS7beXqK0YPXOCRfOBbSpiWZOqdrCnLFMVqZPCyO2IGDUCVGW3WWI\nukVhUTC58Mzz0nOTr7jPABebHDLAyddLKqWlOICFOOtIf9lMKu+jxQAHbfw84R1GkkN6l2e8xxcY\naPhoydGeeFYFZDfJGcucsWKRUobYLQWimy5NArxlh1fcpE6IDd8Rt1xHYrSoAOdgy0L4By1ywSQl\nTwhvvAAu6K47OIovUSGKjTEL5iVJo4CimVywTJmY9e684CYZFqwJxRUL5Popnrhy1AnxXT4mJN/J\nKGW8apsiCSpEOO2scmBuceTfQAT6OiwFZXfiQVcn3FBfcZvnuOlSJwyY9HFxxAY9aWcpE2OfbXp4\niFIhRY4CCWZBqX5a/JXrP1D66zh9XBLOnsdEFQWpUiRFnitlgZ8t/DmvnTfweVoE3XVKyQSdbhg9\n0KPd9TM59AmAeQzU8AhfooV9qYvT3hdisjcp+NgudtgLiOKhoXBY2WQ9eswy59b65o99fesvtI8i\nv6T0VzFypWXq3TAOj8DhuNQejlSHaV1nMpWQ0EGc6ut5EaVuR/z0CxPci3VS/hxxyixzzm2ec4ev\n2R4ckCpWUcsIZJUPBkmdgl0AOe2MpbKogM6UrDIPdg1HZ0JcrRLyVLmuGGxxSJQKh2zSx4WKySqn\n1oJ2Rr0WHBKVkjRON+T4Y40T5sniYEiBBErUwE2fAE0UTCbo3OAVH/IZB9oWH3u/xwtuMcbOOkcs\nu8+5ZImf/e5v4L/X4dxk/NdeCv9dmsB1kWgFWMbFEXbWOZbE9B7r0xPCvxsIlVkQCMFkES5Tc1T1\nMHPdEolmmU7kEauOU/xKi/9762+oXC0I4v9stHSCUIiua5h9G61mksKNOuvKMRGqUmFmJ8EI3fmC\nwqpgxJVIMJIemj+M2ygTkzaCCiuxc6KxMkGawnzbO2Go2fjS8Y5Vibbw46HLDV4yRx4bE2upniGN\nicIb3zV6uKkQpTyNMWx7sPsEfmrml5qg8zfRf89fjH7F4l6ZReVnotK8EtV5fitKhjQu+iQpSGGQ\nYQkZ7vOEWRxQsNGBp8AL0C7AXTMEveUD4Acw3dEsXt48WW5MXnFdfUVVFVMDYc7v0rUiikT+luBi\nQtUdQnUbOKZD5sZFSrYYB2zzOB4gQJMFLpkblVhsF7DNUsdnac0N2NIv2Ypdigo6DdUdFy3NT9Ss\nEG51maoqHl8HmzbGxQC33I0ucYGCyVPuUieISxrm1zhmgQwmKq+5zgtuoWFwnVcSsyWyAz10yZDm\nCx5Y41sVgxglC4k1QgCUL1mkQZBlzglTpY2Xc5bpS6uMicIY3YprikmCzzw5i/xuZyTNzk6uJKj4\npLJOKxJgQzlCvz8h0hMxQ758DwzIe6MUSaJiEluo0/faea1fo4uHBEXS0wz+SYuh6qSl+clJovyM\nXl8nRIwS6xxbalenq88NXnOTl5a4I0SdVLuAfTwmGGpwT3mG0ycSAvoypWCMjT4uLlgkl13C5hgx\nSDipKyGSFEhSIEWOgBSM+bDRIGRBhEVRW6FMjI/732OEnXddj/kJ/5HrvJbiKjGe9tBFwaRBgDph\ni0LzEb/mp7G/J0UWA41XgRu8ClynwBxvRztMnMAt4K8MPnjwO2tq1jU8VO1hatqcWAEdI1Y/PwLH\n7TqboUMSFC2hm4gh+se/vvUXmo82q5zSjL/lJTcpEUNjyi3lBTc3XlGX8l8XfeaceS7uNKh3Q9j1\nEUFXA0UR0F83PVLkuMYbbvKSJfOCvs3J46WbjJbsFvm5RIJDNlAwuMdTFrhCxaBMTAA7vQ+oe8W/\nKQyaAsR5nye8P/mcPi4qelRS9Av0cdEgxBwFgtLh/4JbnLDGLD8tR4oUOYvTt8YpIHBIi1xyj6f4\naPMV9/mUh4yw8yGPLNDuUC7N0Q2hmvIo8GODD67/jg/43FoaF0kwwoafNu/ymF3eEKKBPp2Ih+w5\n4kG7A3oJVot5Vs08aNBY8PCZ412ecB8DlV33G46+M0ZXDHzBBsVhgtp2lHTikrSe4WK8RLGcIiRj\nXGbYK7+kmc9+7isWRJYVbjY55BqviVOmTIwmASpSZNHBR0Qqx77DJ6x/dgVl2H7vlIuFjynZYpLa\nvyI77xJprigT5yn3ZG6a16J6mCgs6+cspj7mIY+4yQuKJDFR6OOkSJxcMkRKqaGVEW/Sdai8G2DP\nvoPOhOvT1yycllF70F2zsefdpEEAJ0PLO7RkZITo4BxRvS4hxBIR6CYdNAjKoFOdBkFe6TcYYZPK\nSMF6jFDDR4cqYVRMmdIwQuObcNih5qCtia7UQ5d3es+INqt4lSENv4eMN4numhLT6zjPJuKCNhCp\nCSbigruESKiPP90XuYNTGMY0ilqCU1Zp4cdHh3WOudl+g2MwJRyrMU8WRb6DQxycsoKBRgevHAue\nE6JBhjRZ5rlrPuVG4y11d4D/7PiRCKQ0NigMk7idXcJK/R9g7QY4aUrVXpkoxUmSzNUyhqngjPYw\ngaC3wTvqY5IU6MvZ+4z0PsYmxVY1SrJTTVLAH23Rw83/Mvlv+V9H/zU7/n2+yyd84P8MF32+4h2+\n4AEmChvBI4JSjp6kQNisYZgqB44tiSVzc5OXfMgj8szxS37IlzxgICHYTgaSHiQI+6+4QYMgHjr8\niF8RfdyBMqz95IzXvuty3K+gSWZjkwAnwzUKRwsoTpPdxVfsKPt0cfOUewymTtJahgd8wX2e4Jf7\nuxR5VEwCNHAypIuXiaFj08Zy5yt26FHKRDt13JURk5DCx4GH/Cd+wtfcwUSxlNsRqhQRE4XZu5mg\nSCqU4/C/2uQys8ZQc3PU32Bvco3aq3lhlYmCsjbB/j90mBR1pg0HBBTMgY18aYHKNIk72GLDdWSF\nzf5jX9/6C+3f1f8WfQqDgovppQP8MLzrxOkeWPRtVfY+XjpsaIfgV5hlPQkj3wQHQ65Y4C3b/Jw/\n45ryhrgmkiuTFHjAF6iYnLDKZ3wohRIlergY4kRjwi571AjzlHscsmlFK6xzxAPjS1aeFAVBYw3G\nC6BMwZgq3Bm/xtYco9lMvly/w7myzApnxCjTws8RG7zgFs1WiGHdheKAQLxMSG1wRZqyVFC95hpl\n4ixyIdFGImLCwZAVzgk/rPL43nsUi/OYToU2fvIkiVHBSZ9t9tlhDw89rvGaG5PX2KZjRnYbkx9O\n0NcQFP0wouPSobrq5bV7R/5NIYUOUueH/JK/Df1bDFSecY//q/F3mHsujJDOvJ7FZ2uzlLrgIZ/y\nHX6Pmz6haYOlyywepcub5U2+4D2ZfzVAZ0yIOnMUrAKiSYC+6RL2C6WNjTFN/Oyxw+J7WWKZJpoJ\n6X4Bh22AiwGrnFl+ohfcpkjCCmZ10+cWL3DRZ4KOjTG7vOGH/IrbB4cMbRpLKxf8XvkOVaI8Ve9T\nnztlyZvF7+/TC+u8da3Twi/GMhqcrc1xpq6QJ4mPDrd4wXyzSDaQEBizSIzFH5WZ/KXC6fUFWnYv\na80LXEqfS3+SFj4CtBhjkxzQJevgmxE3Zrl/ApnVt1ieguoytOTTGbkDvsYbVvZymC74cvcmv1B+\nRJUoHjqsuM/5XvD3bE6u4LeI/fIy9NZs6LUx9iOwVQAb0AOPd8z1d45wL3apELPo+Ee+FdKuLFM0\nmacmBA+z9zBFVo6RfZyxyi9Yl75M4duq6mWGqsYqp3zErwmpNb523aWBGHu3pz4iaoU7yte46fGU\nu+SYp0qUYi3F5DducILnp2U+8D8iJbsxBYMqEUk5GTBHXiSZjU9BNahrQXTGbHGAlw6XLPKx+T1y\n1QV6Ng8em7ggvXQ5YItX3CBDmk94SFQSU9z0CChNnLrootr4iFHmAV9wjddyxK5QN0I02wGUgMFt\nXuCmJzPHHNziBe/zOVNUcqRQvgOOwYQT75JEhwkP3cymk2WeTteP8XsndODVh3cprKfR/X0xhShE\nOJjc5OX8TZ6573KPpyxyybs8ttBbXTw4GBJ0N6g04lw5F+SUSMS8DBUnA7+HS6/ws37Fffq4WeYc\nO0OOWec11/5f6t4zRpI8vdN7IiK9t1VZmeWyvO0y7ad72oyf2Vm/s4vdOy4JnqQTeABF6It0J0iA\nINwBkgAdpDseRIF3InngkZz13JmdmR7TPW2mvS3vvcmqSu9dhD78o5PU3Q4gQB+WTKBRhQIqu6oy\nMt6I9/29z0OUdSZ5yFluE+CIPVpwkCNoO0Tq01i8P05sJSrOI34VKVBDMqpoFpV6RUaVJECDnERl\nwcFR2iE6Pd0a5VNmosral9aDv/cFrTzvoRyXxPZ6AvDCQbaTg1onlMEwUMLfvYdVKSJJKt3GVU7w\noAHpzOnOMQnYIcIK3QhFerPOYRTKmCeM4yHVWBItYOM2Z7GTJ4uTFB4K+vrAHi0AAibLASoKCdmH\n+2Qab7wEdZAKoJTBUNcwVStQglyziXWpk11aMFDHqBcjFZmk6mU/0UrtqbBR7wfbkNqrGDvyPPQd\n6IugQjFRxsT7vIWCyknu4yHFB7k3WbveT0G1Ig1oeJtiBDiijyUmeUSnuk4glsaQqqGZJUzWCrZ4\nBUmGcrtMOmpFimpUJBPmYhXvdBEKsGFt5S/5HnECjPGEV/iEEIKkn9TTjCncYKlDUCWPjRhNuMnQ\nxwIRvT1RR6Gtso3/XhYMEAwlsFjKOig3rk9QxOnBTIUTPKCVbRKSrzGjklA5IsgBTfyF8x06Bjc5\nXn9IOBNHRW48w/M5loEq3awywDx57JQx8wqfcKF6HWMJFpxdLNPDPAO4oxmaskdY1DIFxc46nWzS\nRpg9+p0LTDgf6/gjAzUMIhSnFonLfhboY4PORnCIqkRTNknJaWHf1Ez8nJcSQlEfx8+qO8oo00Rj\n25gXxd7O/tk0zwzHBIGdADGaKWOmk3XGeEo7m0RZYzC2jPmgQiFkZSPYQgkLJj2lGmIfXyGDvVRg\n75ibh6bjzDPQWPreJcIzxnjiGOftb73HidOPMVRrzLQO8qHxNbIdLo5PPOR89SbR3X2kTagHYb0l\nQhYnHaxzQDOf8AqL9PKO4UdMLC/g7knzhDE9eCCzTief8TLPTeLPiSLi76fwb6V/hMeZYoLHTPKQ\nfhbYIdw4eXtIklMcgNSgvLvIktEVLJJfY+WcGZczw3dcP+I7/BgjFTboZJ8QHWwgU8dDCjs5Cti5\nbTzDFKPc5BzL9KAhNXRQ3zW+S6RtByNVKpjI4uKAZg4J6B2TFQIc4STLFq18uP8G6qcOfe0GGKoT\nHljjQGniEZPk9JaoR04Sdu8SIE4Vo+5FM1HT3/MSGkl8POMY26ZWtkytzCcHKZTdtIbWeJEbHONZ\ng9zjsqWIWyKwCOq7ZmJNbQLx166KM/2RzOGDDj7uaaZ60kgvS7hJ84hJPqi9yf5eG7W0AW3LBGVY\nuABrvi59h7WbBXsfCbsfFYksTtrYJqdDjbM4sVKklS2O85Dz3MSpv+MEPDpIAj+byXYRUEwgLo49\nMprLiOZSQZGorcrw18AVsbbOpA2+iaDixCS2r/eQHA9+aT34e1/QUCRoqyH1VNGSFqGusCEWM6tQ\nMyrEDiIwZ4JN2Bzpo3zazG8pf8YlrpHDzgNOMscgdnL8Y/6IMfUpZdnMDENMM8oSvWzQQRerfJ+/\nYGJrBikLSBqqT2K2uZf7CERRgDjHeEpI7/laKDGmPWHk4Zpo27kBiyBF4QStA7IBA8gScUX01me1\nYVbS3YQ9u6DB9k4noPFi52ec7bzNRq2TX8W+SvKgmVHvFK/zERIau4TJ4SBOoEFev84FtpejZP5v\nP9xGtJBOwUFrJzdH/Tj6clzmMwY+2BQH0jri4HkJeAGSIRsYVHzxIloVFsNB7ttO4TsV51TpEVap\nSESHmQJ6k8KBhRIHBHmft7i68xqYNKJjc9ilHAc0s08Lfvy63ThHJ+tkrHYsXylRrxiwSTle56PG\nXfMeLXSyTgcbhNaTGBI1MM2geiQwS2gGjUVvlEdM8jmXSOCjk3V2lTAnPffprq5yvDDFiruNx0yw\nRC+9LOEhhTBb1/X5QgqTVMFuKDKkzWKWSizSzyeml6n6jcwwzGPGkdAY0OHDDnI41SzBRAbVtwAy\nYpFeniSBDwWVt3mP8zMPkKeBAJhaKvQ1bzDv72SBAaoYG7qPum5aMO/XkWKg9cC+1IyBGt2s4Nb3\n0+rI+EjoSN8t+sqLON+rwPtgsuXxXFim+qrE7ehxnjJGFyu8mrqOMQbZY0JRksPRiLfbyOPCJNq9\nUphftoqZahwfRWzUUZhmhIrRxGT7I0Yt85RsZh4bj7FDK2e4TVjbJSLtcIcz/DH/OV09q5gp4yPB\nRO0JgYMsc+EoP+Y7rBFtzIpVZIxU0HCwQyt51c6MPMwDjuPSo+2yrqnJ49BXDYys0oWVov63S7JL\nC6mql/aBVUaZxkmW61xo4L2eh65CWgxruUjK4mGOQaYYYY4ByljwkWwAwTvY4Cu8z+XMDaQKrAci\nzDPAEQG6WKWArUHCUJGJsMtg0xwzhpONpJ4yWcOkVHSDnJEcDjbUDvJFG332JTQklukBwEecDE5m\nGRLEn4qDo2SIcsxKrWgGT5229lV6WMJCUU9Vi+MlbNpl62w3NVUX8R4hzBfPZDEXzQA1qI1bmOoZ\n4753DgN11ojiNxyhBmV2yu0QVjEHs+T2Avzx9O/xs953mGy5p2OsHDjJ4iGFnzh28voFnKpzS7dw\nkWWLNvZo4TNeZplumnQ/n8eeYj/pg0/Fz8Iw0ClBRoEZxJx9CThIiU/eD8LjKFxGpCXHZGS5+qXl\n4Dde0CRJWudvlItVTdNOSZLkBf4KMVFYB76raVr61z6Bu05b7wpmuczK6hDaY4Po+YdA6i3ib9F1\n301G1LLcEPt9wJtUMemuswMU6g0G3arcRQUT04wyxSgFPd0zzLTY8cmkxMGxC5jg/OQDJh1T1JG4\n6z7BDV5saDz2CeGVkoywBhbQ+kG1g5IEbJD3KmQVJzGpiXWiZHDRJy3S5hGttkV6qaw6oALW1iLf\n5qd0aJt8O/ITZiLDIprNLDJ1pjjGh7zBw+wpMit+KEnwTOcTDoLjP8SpI1H8lQ/mJEohG7U+A+b6\n34okDyIOnElY7GwlJzmQ0DgK/o0PS9MTdFmLDbeW4pR0jwg7yHo754gAQ8wSYYfT3CXeInx1QemQ\nFvZo4oAiVuYY5D4n8JDivHqT6MY+hYCZR74xDmiiWR9kv1X+FbbdOpb9EsZN9W+u8HpAvqyRbTJS\nMphJ42aTjsY+Vg/L5LDzY+k7tBq3GXM9bWhpXuIzmoiRxKsHPYz0sIKBOuuGTkKGfWwUyOLiid6a\ntJOnjJkW9nWIaho7OXrVJUIfZmAOIi0pPK884k7TCWYYIqarbA4Jkh+2E+3ZQFMgb7ChIrOvk1wq\nmBrixgJWrvAafzXmIT4mAiZHBBq7jOe4hZs0swzy3NJsoE7VYIT2Cowg3gNNUAiI5KJwb+VINdmR\nfGCTC7zEp9znFNe50DA2xHQNSxo3XpK49N8xj4MZhhow3LTkRmmq011e4RjPcOpw3pQk2Jr9LLBJ\nGw84gZ08LeyRN9iJhtcoYsVGng59N3GPFp5qgmDSKm1j0iosLo2xM9/LncBl2s8ucFm+yjAzOtLN\ngYsMAQ4RzSkJGwVKWPiUl1mP91A0O2kKiJa9wFCVGGWaIlayOClJVnqMy1jUEi45zShTjPFMp3x0\nk8WFhSIyGl/wAuuuDoaYa3i7NvW9ryBHRNhhiV4+OHib2pKFekYRcyGL+FePmVlPDRJrDTPZfE8I\nYqUq2ZSbA1sTLimDlQJ5HGzQSazUTOKwGcVSxuNJINur1Ow2LKE0rcFNQtI+WVw8ZZxdDhliFitF\neuQlcoMONjs6SG4FIGMCkwb7ElxDjDvc4tyYU11c4XXKmGkmxhnuUraYme0ZaqhsrrpeYnuql3SL\ntwFS3qKNJN4GHmucJ/iIs0q3vgdnxEkWFxkOaMZHnNN6J6iOQtlk4pevRiBlFsX2ogbRKlwzCbDF\nkxKC61ZDgGD94rw0DJYfpmht3kQ2qGS/pJ78xgsaopBd0jQt+be+9t8Cn2ia9r9IkvTfAP9U/9p/\n+sgplKtmIuYdvB23KLTaMFOh17hAl7RGBRNx/JisFULWPRRUsjjRkIjRzD7NyKgEiNPOJiaq+qKj\njxx23QC8hZ8jFOpc5TK1YaElP127S3QlhhLXcC6VwAbmU0IXcobbnEo8I+F14M1kBFKpGSQrKHug\n2eFe6zHuySepYMStG1vf5j1+hz8hjYu/4nt8sPUVyMDIG/e4yHUW6GfPGNJ1MU9J4hOLy8ldWl07\nLCp9yFINOVDBE4qTqIdgRihTjJ4ykqqIVz0ImlfiqTrG/6H8Pr/znT/h3IV7GKpw1OQgZm4iKXkb\nksttIvwV32ORXo7ziFa2qSBQRDIqbtIEdOCpR0vhqOZImHz0ssyk/KiR8PSR4Nv8mAg7fMyrvMdX\necYxPpTfwNr6c9p3DrmYv0siYKNosBLMprB+VhNiSDPiGPchUqoWoAxVWWFPDjUoHSXMfJF4gbTP\nTYBDEvjwkWBTakehThx/A/Yb5JAXuEUZC+t08iPewUaBV/iYSe0RRqlKhG062MBFhoyO7vKRwEqR\nIEf0bO+IE8ZTYAi0MzKzTYPc4Swt7HKeG0R0HFTBbKaMhR0iLNDPIr2k8BJhW6dupqliJKnvH4FE\nD8uE2SWFh2lGiOsQ11Z2GGFatNBzRyhqHXUC5ADCMFEC1/Uyr3hvorklpKDGQlM7jwzHaeKAM5W7\nDBlnWZT68JJkjGfMMsgjJsnipIkYXn1n6rm9uYCNdjYZ5wkt2h51RSGjSxf9xGmrbROUj6jL4nts\nFOhhpbGAryIRYZcONinovrYiVnI1B73GJV7hY46kIHvRFuKJNkITa7wif0In6zrBP914D4fZ4SLX\nMVBliT4ecpwj/CiWCu3eVXpZQqbeiMVHWeMct+irL1JTDKQVN1u08YxR9mlpxPYFt3K/0ep+7pUr\nYKUtuUPvyhYD/ctccb7ECt1UMIm0qStLYs0twlMVYBzsXz+iy7tCVnWRwck6UUxUUCUFxVRje6qH\nfX8rrZF1EaPPBbAYyhyLPMQqF8TdatHOcPdTBljgkCCL9GLREXoqsrBlY2eRXjSg1bZFzumhumQE\nrwYhoEuCGOLfLyA/42XxmBciGtstPcyH+7FYy1hNRXxSAgM1wo4dct+y02Naxo2wuYfYo4yZR0xQ\n1YwkJS9W3UH4PJSVxckSvdzlNEUsvMRVOljnPb7Klfmvw0MTDII8UqW9b4l82c6hvwO+CnzDApu9\n8FiFhAR+SUDNm6COGYOhiltnYP66x9+FgiYB/7EP4OvARf3zP0WcLn5tQfvm8T/nOA/xkCSjuDlS\nAkhojPGUYzylgpltWqlhaIBrBb5JxoYQMW7SzgFBXKQZYAEnGbZpA8BArbEfM8OwIEwwh40iR4YA\nqT6PoFKr24R2M/TUVigYbBSx8ZnvBUpY6XSt43s1TkZy4SOBzV/kmukSv+ItcjjoZplRpkU8VlUx\naWXaEwekgx8y1XaMvdYW3pJ/hYckC/QxzCx9uxsYc3VivUWa19JIn0DLeJKJU4/psq/w6P45Ej8O\ng0kSf8nhGhZTkZpkIHtZCELJmNn84wH+tKWfxFd9rLT8gl3CrNJFMzG6WMWo8yF7WeYf8W+5yXls\n5Olihb6tLaRNGChtipBAE+ACqQRUQWoXuBsfCWzkqWBilzA/55soup1aQmvsoR0aA9Q7JArYdS1H\nHkO+Ju7GyogCBqIYX4TEgDDXlmRRjKYYoYSFMZ5i8ZZBg7okZloHNLNHnD4WsZOniJU8jkboZJ5B\nbnGOPDaGmaGOgaQkdnc62MRDCgslEoiZXVjHgdUwkAsZcF6siVatGeypMi/zGV79JDDBYzqS+2x7\ngqxKXeSxoVCnmZi+dpBglGdc4nPKmHnMBF2scYa7+kSuxj4h/j2/xbvXfgi7EHxrh3/CUz46AAAg\nAElEQVTi+VecVW/T9iwOFSj3w4a/iRbTAZY9YB2kQzCYVJgQf7+Q74Cg4ZApRpg1DVHGTBYnEhrX\nuMgtzrFDhNPc0W0NgroRZZXv85cUsWKigoSGikxdVojjZ45BsfJhMFHDwFPGeMoYHWzQzQp+4jzj\nWCOI9dwZ9phJnmTGyce9RDp3yEniZ+kxLiOfUonIYl3luUjXSFWnyASJskYviwS2Czha86TwMEmA\nC/7rnOMLJFQ+5jX2aMFEhU7W8ROneTaLZgS0JH35LYZHZ/mZ+Rvc4hyHBGhhn/Pc5BjP6E+uA7Dq\nFa61gsuCNFCgaDM2lo+nGaaMhT7LImvfrxCb6IIEGLoKdPiF6y1VdWNQao3k8XOerHaoUHMb6GNR\nXHw5/PhIEGWVXSKslbooxL2YnItYpBJ5XTvVwzLNxJDQGnDrEHvc5DwPNs9R/ddWuCFBUB/B5IEo\n0IvgloYQhcIoUT8wkpFC2PrWkFG5WztNKuZDkzUc7hwzxWEe7Z8T32cBrSyhlSTktgJKSEWSNAIc\n4SXJNKN8xssk8LFVaUNCw24q6OntY5QXLbApjBzqtJH18UExZ6wj1nuCwCRwQv6bC4MTgB+q96ys\njA9xNvr5lxaTvwsFTQM+liSpDvyRpml/DDRrmhYD0DRtX5Kkpi/75m/xU5bp4Rd8nVZ2uMQ1otoa\nw7U5fM8KVMIKiRYf17jEPiFqKHhI08IuYZ0UkcUp2iV4echxsrrkMYsLBTGUf46GEVcp4kT0hDFy\nkgMfSQxKDZ8ri6eeRTLAPU5hpsw5buGUMsxJQwQ4JPJ5Cipw4cJ1Rk1TlCVBzahg5AbnWZO7OK49\n4NWpL7iQfcjgm7/LM9Mx9mjhNmdI4KeVbWJhMR5P4KWZB2CASpORMmY6pHUW+ofJr7mhE5pe3MCi\nlNhPhqgsecCq0TM2hZ0cU+YJtLyBfULc5iy7tJDERxlTg3SyTqdufz6iiA07OSqYOWxzQhv4D7IY\nVoA6ZIMGMkYnKrKuTHfpBmEnToRKXghND3hNvSKgrZKVdm2DztwWs65+7nMSO3mGmcHlzeA6U4GT\nEkeDDn1ZvUwCH9N6b+25rBFgmR7qKHRJaw0R5SZtLDAgYKzai9i0PP3SIqelu2hI7BNihS5yOPR9\nlwxx/PrBKeEizYg6hale465ReOsOCdAknMSokoRmBqkGmg8KERMJfI3IvIEqygp0uA+xdxWoSCaK\nsmiRhtnlLqe4q+9bZXAzxQgnecAZ7lDSLCxKfUIpVLWj3VFgB7SLBiSPxoHcRKg1gTGuceTwsSZ1\nITtV2qNHEAXNI6C/0gbwCPz7BU6deIDbnNKxuMJ9JuDBFVrYY4cwz0W3zxejaxjoZuX/NSONsItZ\nEjPEZmJs0ca7fJcKJiyU6GMRGwU+4nU26OAIP+1sMcIUKbxkcNPOJoOuOVSXIFUk8dLJOv+SP8Av\nJ9iRIuSxkcPJPANs00oBGwaqrBHlX/H71FtlrHpi8QVuYaOIiwzXeZGPyq+zdxgh2LJPRNlhhS6C\nI4e4k3lMn4L0TKMlk+TSS9dwkGWFHoIc8IP4T3D8r0WxI/gC9L2zIzoDJVjsauUjXucBJ9igAw8p\nXuUT7OSIKwEMwzWEuFdILg9p4lPzS+zQioUiNV0tNRScpfiytaFVsesBkza2MOgXPO2WTTaiHWRw\ncURAEEDKgsr/fAf1uZ4miY/1cpTydRusSzCEaDH+CjG/P4c+VtBo/tY6Jx33WaKXzXQb/e5FBpmj\njJlZZYhELAIPJbKaXRQaE9Cq4eqLYTaVSRz6qW/b2b7aB0D1e0ZGlSm9nVyghyUGTXM8Zpx7nBSg\nYayMfO0+zq+J3cBdwtQw0M4mgRNHbNLOXGyY6qEDMpLg6z5EdCAHgRrU3QrWaPFLi8nfhYJ2TtO0\nPUmSgsAVSZIWgP+Yx/WlfK6lf/JT1oMR6nzOqRdj/FZ0nVxIQapLaCmBqdppifCe9jZJPAQlwZQT\nqKJDnjLGleIbVGQjQ+YZOnVzch1DY9F4i1airDeU5T4SuEnrDSIPbjLiBKDIOGJVznjvYbaV2VTa\ndcxTO4v0IaGi+RAzFLOdEhY2acdMiZe372GQVZ609DOxtwDTIgxg0OpUMfI5F3nEJF2sskMr/5z/\njhv1F3HLaf5F5z/jku8eUkWjgA0TVd4K/zW533WwRpSljWHqC2ae36krkzWO84AXuM1ezwck8WKn\nQAYXBmo0ESOFl9uEAQ1NnweK6UWeDG4+4nWeMUo7W1x03MBbLaKlwJLSOAqa2KJND9O0Y6XAZT6j\nkw36tQX8WpxIcQ/7vbqYNVSAPNRfgLnTg9znpA6NTVE2m1AGVVbo5i6nRbFiFTt5Khh1XJcPBznB\nhgOCHNLFCl3qOnnZposZf8Esw/xIeocH9RN8ob3ALcM5lJqKU84QVoT7SkBcTxDT6f8mfa/IUqzh\n3S0Q6t1nmmHSeOhkgxoGbhrP4XslSd/LixxITbzPV7jHSRa0ATI1N982/Ih/Gv3fcO7k8SwXMVTy\nbIwGuM8pYjSxTiczjJDAR5Q1mjjCQA0NyEt2rnOBe9opnsYmxL7OC3WORR5i16kWWZsNR6WMQapi\no8CK1MP+YEtj8d7nTxLcy8Em1McltsxhemorBGN57oZHeSyNE2aPNyo3Cazm2O7x8eeGf8AyPfSw\nzHluUMbCEWKe18o2r5Y/IfSjNJih9cwBjracvloQavj3rDojMIuLBbWPg50WLLYCBqVObteH0V1i\nNPwYSdKYSw8iyRonnffpZB0kmQyuhnctjp9b2gvM1ocxyRXKqply3UKraZNBaZ4mYuwTIo4fj55O\n3KQDm7nAQOssTcQYZYoz3MF/VGA22EX46/v4hgvsDPiYYpQMblxkhFHhoCTuYnoQCeovQD0Pi0Pt\n3OEMORyN9puZEiXMLNFLAh9v8CFR1ljRZ3Eh9pnksW6NEMJaAeXeIsiRSDHjxUeC19UrHCtNkTE6\nKWEja7DzWBpnk3aqmIiyit1c4FLtGq3skDR4qGDSvYEV0mY3Px1po7pgERqkAuLjC8APgHEN10CM\ntxzvM8ETJnnEqruLZbr5jJcIsc9l6Sr9k/N86Pka9VWTAClUDWCGNusmnWyQDHlJhHzsD4XIHAZp\nUkTUy6qvSQ3rgZw+zvE5F0lqHoxSjZxuRullibd5DxUJKyX8+rhixxohXnaKQvwm8DUwvlPGuPw+\nhR8/Qf33MneuHX1pMfmNFzRN0/b0j4eSJP0cOAXEJElq1jQtJklSCHFI/drH8B++TR9GTnOXrtld\nSm4TS7YuNMD7chL0iKlJqtDCPgEOBc+vNoixVmPnl93wqQSnIfaNJo57XbSxSRUTy/QwdzhMtWri\nZPgOJ7mPlSIFffein0XucYodwgwzgzleRz0Ez1SRl5rvsDc5jyaDP5si6Dwkj53EkBWlpiKVwaTV\nsBpKhNU9jDOCPj5RX0CzwMrvh9mjhX51kS51lXZ5EwlNvNmBA5pIVj3UzTIrcjenR59QMFswU0JF\nZk4dZDvXTl2R6euYwtBRZyPfQTbpoa91mlZ2BNhXG2et1okqKezmI0gGjYv2axzjmY6FEri0Djbo\nZ6FhlPaRoFmLoUoyT2zHKF6w6FeRQihooEob27zBR4TZ1WlxKi37CZRdcSdTHZIx2FWk68A6yJ3Q\nzYoOsz3ER4IgR1Qxskw3TxhnlGdE2CFGEwc0M8A8zRyQwYWLDBeKN7BVSiRcLpKyV9iKOcYWbZio\ncJL7jBimeayNcyfxAkfLLcQ8dYpdVgaM83SxyihTnOQ+XpIcEMRAHU3RwAHN9RhDyhzrdPKQ41go\nillWYRbn/Sq2gV2izWts0s4j7TjrNwb537v/a3Y7Ioz4p2llmwkeMc0of6F+n61yB0ZTiUQ1wE65\nlWltlKrZxKKlh5jU3EAipTU3tYIVhiEwtoODHGtEyeJkyjaKzZanVV9sPSLAAv1crF9naGpNQLo9\nwHnY7fZhp0DwizyUQA6rhIhxqfI5gVs5UGCvP8QMwxip8k31Zwwub3Cnd5Q/k37IEQG6WSFntFM/\nnUY+BMM+tHt3mHek8JNAYYEYzWzSRk6PczvJEa/IVI6c1FDhSKJ6YGfeNkTIs8uY+ylDzBJmlzh+\n/oQfksXVYDeu1rpZfjwEWQUimmhbrUDidATbRBGFGjWdOu8jgYYkdC2qDaNcpYCdXcLMMsxAcA6P\nlsS3V0ArQF1VkGVVh303Mc8ArsEMtUEDC/ThIU0PS5Sx8IATPOQ4Oey4yOp2ca3RAfCQooyZNC7i\n+InRzHNG6ARPKGPWHXICSD3IPGMPlsSdiANxJ1QERzEFpOA8FIctRNilS1ula30P6QMgBrVvSVwf\nO80eLQ2m5pP6ONVbFnEnFkHwE2cRd5dLwJiK253mgXaCGW2EEVlE354zVf0kGGaG89zk5a7PKHTZ\niOPnIccpY+Yk9xs7kXVVwWdOULZbSVR9zBsHdW6NgECPMM0Rfp5kxkmvtmAIZ3EHUgzKc7zJB/iJ\n8zGvcl0do1I1E8uFyN4Niln0AWLE0AtmZ5bIxS4OLp8muRKmEszA//SHv7Ye/EYLmiRJNkDWNC0n\nSZIdeA34HxEB8t8B/mfgt4FffNlzCGSURBErV4ZMZHAxySMi7PCQExSxYKPAWW4jU0ehzi5hdg7b\nqe3bxeBxAmiD4pKX5WO9tFq2CbNLmF0iwR3mGaCLVc5zkwxOFultYJieg3bn2cLdkSbb4SSJt5FW\nq2BGdorWXZBDHAdlzLdUPHtlSEOfvCleuDDUR6FaN7Ib9PEj3hHKdTmGgsp5blDB1EhCfoOf84bl\nQ0Asfv+77n/AHc4go+IiI97EcReO5hQTPBFGAnuBgt1GD0s6JqeDBbWfdNlN0HGIzxanKhmp6bZd\nG4VGauml2jW6r+6AF0p9EoaqRlkxseTp5AvOcoezlDE3ZkuiZanhI45dv+MtYqXcYsbcVGZJ6aGG\ngf7mRYKDaTQVCk7hYDrLbTykyOJgQ08tioXxTcLsAXBEkHkGAHR5/R4OsphyEHMH+ZX0JlOMNtx0\nCXwEOURG5fPsJdb/dBDuIfZ0JhV2Sr1UR4zYlAJR1sjhwEQFGwWi5S18q0UwQUsqSaT4GVoFkkE7\nG44IFclMwuqhNlYCo0o/C0wxSrlqgiZBlp/VhjBKVZ3rOcEN7UUePXtRJM98CGXPL2B/MQpnYfW3\netjq7uSY4wmvSVd4Vb7Cn3f9Q+7uXOLwbjuPXixgNFSxk6OdTCMg8DykMMA8nfl1VBVUu4ShoEEM\n2upxip0yyTNmVk1d3OckdRQUrS5OJAno61znTPsdwb6UXez0eFiXoqTx4CfOZe0q3Xu7HHQ7OewN\n0Lu9jW8+z7ljX2AyCY5jBxvsE2JOl4wWZBur3V0CXo2P2ewI6TshCjd9GF7d5Lctf0JYnwFt04qb\nFB1s4CDHKlEeZE5BUsESzeFsOSIn+SmrZoxKlSQeFFR6mENBxUANN2mO8RRZriOj0smGLoY1s0YX\nXhKUHDn227zclM/TwQbf2XmPey3H+JfyH3CT85zlC0pYmdXTnUEOdSvDNu+rbzOfGqLdvc4p5R4t\n7DHELE6yJPGySTsjTHOOW2zQQRkzHlLMMUgBKyPMcLp0D2upIgJjG4isdxnRSTEAk5ALGClgx0AN\nk1QRx0kC1Em4PTbJX/B9njGKQavTLMVwKWlcXztCM0KpZqNqsSK/WcXcXqZqNxGIbtPLEknJQ1ES\nRnJJVyFd5qreKi0xmp3DOV2mHpRY7OhgwviYHA4U6g3zwtZaH+zKsAHbTV6Sx/2M+R/zTX7OOI9Z\no4siNi65rmEYrzUQcwWsTDNCHYVVouQ0B9sr3ai7RozjOaQhicotm3AzrkDuJwEWhgNIP6gRGVqm\nz7DI1S+pB7/pO7Rm4GeSJGn6z/LnmqZdkSTpAfCuJEm/i3ipv/tlT5DDzhbt/IQRfT8iyVPGqCNa\nFkEOcZBnjxZkVAEeXRundtUqDo52sH/7kFrJSPmqh0NXmKneUUyVCh5TCpeS5gQPGOcxRip4STGh\nPcZfSvGx9WUeM04dA1OM0sQBNvIN/twI0zQRo4CNFnY5GX+K+Z4qfqMiIkhh0j9GYGqol/vSKcqY\nCOn21jQe9nTKgoxoP0ZZY5BZNujETIkRdYaULHZ5RDIrzyQPCUSPWCPKIr2M8YxB5shjb1h792gh\nofhI2Hz0s4Bk1EjhIcoarQgPURo3RSxoKoKKnYD8oJ0p1yAxQg1vWZBDYjRjpUgzMSyU8JHAQJ2m\n6hEtyylqNsgE7KzbWsngop0tjFqVGWcvXi1Fx84uUtMBc6Z+sjgxUONIX1TvYpVO1tmknZ/yLYpY\nGWCeYV3MKAjsbewGw6iIoMJdTvPw8/OAxtiFu3RLK0xpo6w/HhQHz0sqhp4KptYyBk+JAWWe4zwk\nwjZN2gHD+8tUbAp1kySG1kcivaQZoawZKGMlI7kIaHEstTIzHgF9jbBDNyscNz+kbWSbQzXIRrkd\ns6VMEi+P8xPE0mF8g9sUwg5K9z1iTmBE7Av9BNRbFnYudmP7FzneUd7FQJ1ewyLJC14OM0Hchozu\nlSug6V2ITdqZYRg3aRTqPHON4ptM4KxnCMYzGLaBW2ANqijfqGAI1xiWpgXR3dxK4PU08gEk/e6G\nOPZzLhKWxSzyLX5FH4ucnJuhZpf5VH6ZW5xjuHWGi5HPqUtyY6fqPicpYGv4rmwU2CHCE8a5wXmM\ncgXLYBaDuYzXkuQGF9igg7xm5zXpCk4yLDDAELO8xsdIPlh7LcoJHgiSSJ+f/b5mjPpunoMsDzjJ\nbe0sRqnaQKSF2KeKEZk6PhJ0s0oNhW2pjazf2dgN2yXM/UiFm5xnngF8JMni0kNkwjRRxNpwGq4W\nuykcuEg6PawqUcqYMFGhjIknTLBDGIU6UZ3kv02kIWx9zm10bVSQMogiFkbcoa0hAhz9UH9b4mGz\nWBlxkSGJB/9YCmt7nWRYBKJC7HOrfo6DchOaDfpY4kzb3cbrV2y14CTHAU1MM0KYHSZ5jIGqoPOQ\nJIEPN2kupW7g2KpSbFMw1urU7aAcagxo6/h64mSqHpJ1HyWrmSP83G6FzXgPclTFFUhjqFb1lu08\nfuJMcQw/cc5yuwGYfk6sucZFHmyewe1KM+CZwThQZa85Qti3jSyp7AQi5DMOeNcqzpetYHQXaDbE\nOOTv6GK1pmlrwPiv+XoCeOX/y3MIYkMHCjXC7HBAE3cZwUCNNoRzx0GWEp3cL50ifeDHEUzh/doh\nsfdaYUYmf8JPy9Aa8csylYyNmSsnxe25E3ihzA/6/4yL6nV8lRQFi5nhw2VKqgmbVUSSVZ1+8Ckv\nMcKMGG4y2AAPb9DBa1zBki2LAtYP+KHYYyDm96FpECoc0ZbbJ+eYoyDZ8JEgiZcDmuhgHQ2Zu5xm\ngX7i+NmmlTWidLKOQRbLkUWsVDCxh4Pk37ojeW7NfsIYTxZP09c3zZt8wB4tfD77KvVZM0sX++kM\nirnVc2pFkEOO81Ds3mhJtONQDcrM2XtJ40GhTgK/Dlk9ZIJHuPXwTK+2SLCaYMsUwVitwxYYNPD5\n8/icC0y4F5DysNflZpcwPZl1DNfAeyxPZHCXeWM/X/ACWZyMMMUo0xip6gr7Jo4I8iLX+ebBeyhZ\nyIYttFQP6bBss2TqZpUoW9U22JCgJDEdOYG9R3DynMcO8JxNEDKK5XdBjlAJsc8bfIiNAmnJTdpl\nx3eYFzt69xDSz2HIvmHiruMkS/RQwkqXtErOaCeJV+8BKPSwxDf4BYcEmZWHWLT0YaDGHANsP+pD\nstTpCj9CaarzsOMFagmzSHNFEcVtBtiA3XQbN3wX2KSdVaKElBjj3ieNiH8BG9e50LiYiLBDCTPv\n8g5tbPMdfsxYOUnGYad22UTxpJWCYiMTtLEjhclhp4CdWYb4cPAN0oNufaaax4JIw9ZQyGOngpkI\n25AHuarS27bEstzDKl1UJFNjT++QAE8ZI4uLIWYasXIbBbwkeJnP8NkTPLJOIgFGqjzkOEsHvbQE\n9/TmVxMZnDRxwAjTlDFxgvuc4j5lzMwwTBo3O4R1p16OJ4yzmOuj37lACi+bdOAlyUnu4SHNIUGm\nGCWMELauE2WBfrZopYKJEhZkNF7lY31JO8JTjpHBjVyrU68Z8FuO8JDmhP0+yQEv88khbsy/Tnhy\nFaO51iDUK/rC8n1O0sdiY8lbRNybWaSPTL+LcG0XYxfI51WcchbXchF+CWyCsqLh60mSNrgJcMTw\n0zWUT1VoA99okY6BDawUGFGmCdoOG1DnCR7rC84ZQtUYeaOVx0zqv1eCLC59IV3MOOvIeEhRrZmo\nSDWsa3U0JxwOOTgy+EnhFcGoa2vwaItTbz1l6NgcneYNFk71M8gcL2rXcao5lunhGpfYpI0qJtrZ\n1O0I4nc3UNOhBxukQ15i8Qirti46Tet0+QWj9ogAfkecwp4PbUc/D9eg8p6LR+3nkKPlL60Hv+k7\ntP/fj09zr5LLeugNzbIvhZhRR/DJCbpZ0YvMKwwyh50CbjlFuu5HkjU6Ayv4f3hA/cgM7ioVyUxf\nYB53II3WLuF/PY5ZLuMiw9u8x0B2iVLVyra5hX/T9J+xQQdp3CjU9ZOYjIUyDnL0sYibFC6yfMyr\n3EqfY8/dwm5nmO6OFdorWxRNZo6kAJrOFex1LjHxbJ7zvkdcbT3NE8Y5JMAp7jO2vcT91hFuc7bx\nf0poGKhxl9O8z1fYo4U2NjnBAwzU+JSXOKCZs9zmRa4ToxkDVS71fY6bNDMMs0Urfb3TpMJ+TI4i\nPpL4SLBCFz/a+z7VgonLXVcYlmZQzHUujV/ltHqXMLt64bM0ElojTNGT3CDm8fNAOsGRFCRcjzG0\ns4j5gQZHoJ0GLCJKLhWBBLQk01zuv4HzThkOhH05Or1PUyDJZ22X+YA3hQWcI6Y4xjwDDUdbO1so\nVZD3wb1Twj1fIhROYH2tyCPTJCalgnS5jGKqIil1vCRplzaRPSIy7SdOCQtmyrSz0ZCZyqhs0YrR\nXuF0cloUtA5gBEqdMlmb8MKFiKEis0wPn/GSsPeyxh4hVujWVR9BVukilmvGZi4QNB4wcO4Rqiwo\nHwDhoTWK7TZycTfF627RcvIAC5D/H3y8+3s/oGtoERtFDggSYUesJlBigf6Gz62PRbwk2SHCOp3I\naKLo2iyYqXBAkE/cr7BLGA8pVuhmuxLBbcroywGKjivK0ssyVoocEiCLk34W6GQNFxnWhiLUSwqO\nWoFW0zabtOEiQxErSTx06yJXkZoVdyZ2CqRxs6QHRqZzY2x+1AN+KLxoRVFUmpoOqKHw8/w3aLHv\n0cMy8wywSRvzDOIijYkqy/QwyxBu0pSxcJ0LqMisFropxx0cWgIoxjqHBGhjCyc5mtlnjiFucB6H\nLlmto7BELyt0N9LMrWxhosoNLvDp0zeoPbOK2HsCsMPw9+7ztvI+LjJMMcq+KYzWonDW+AXHecgO\nEQBMVFgjyh4tHOcBreywS5g1oqTwIKFipELC4GXOP0QL+3x362fwGHG8VYF7MLq2zKhtWdy9fwgs\nAm+K90+okkQ5VucIPxIaLtIMM82Fyk0sWpGKZMKWrlAIWkjjZoF+UrjZp4U6Cq9xhT4WG2391UAX\n1kCR19QrtN89wmfPk2+x40lv41tLQxUS/9DJjdbTbNBJBSMDzDPIHBXJjLu2y1var7AYhDJLRcJJ\nljx2TFTwE2eRPj7hFTQkLpquYWspcECQOIFG4fOQFNDpiBntD0yYjWWOSkFKHzrhlxJq0/P9nf/0\n8fe+oMX2ItSnLDwdP4kzdERyNUS+2cPZ4G3OcIdN2knr2pA3TB9xEA2yRRtGqrwqf8xI0zSrRJll\nuGHVVQx13SK8QwebWCjyrvvbLCIiqit0c6jPxADm6gPsJ9pY9vdSlxXGeNI4uDtZI+A+IsARV7nM\nr6Q3GTc/xUuCAnY0JA4JMsMwltG/xEWaLdrYoIMsDlbpYrBpHjMlTvCAHcLMMMJVLjc0Dkm8xGrN\n7OdClD0WWtnigGb96nUMDymSeJGAs9ymExFpX6CPTWM7c55BMrh5djBB/oGL2r4ZHBI0wc3Qedbt\nnfSxyDhPWJW7OSRAmD0CegBBXJlb+Mj7MnMMsk8ICyWyVgevlj+HI6iNS9wfOYZCnSHfApZcVeC/\nbBCz+VEmDrAt12Ae8IF9q8x/5frXTLgf08Y2XdVVSkYLKjJva+9xbHeOYtBAImjH6KzjXiuhTsDd\nkXFmTYM0E2NMfoLcXEdWNPZzIdK4G6xFFZk8dtaIIlNnhCmGmaE9tYdSrlNpNlHFwEo4hDuQJxDL\nUnZJrHg7yOmv2y5hphhllS5B52edMmZUZNrZZIB5PuRN9nItZNMuSjYzzd4YffICZSx4SVJHpkXe\nw+Iqs22LsGIeFQUtiTipHUD+qpdp2wTe8AH5vB2/NyHmj8zTxwJBDrnNWXFniYs8djrZoI2tBs09\nyBF7egrQr+/jxWjGYRLYsSJWogg+4CJ97NGCX3f3ZXERRjAHb/AiV+0vcWBv4gT3Oc1dznMLB1nW\niQIwyhQSGgl8zDHIFu26uVsmjYejeoD9p1FBsbmg4pOSDXahnRwWe5kONlikj9vVM7xkvIqVAk8Z\nZ11/vbpY47/k/6Simfjn0j/jr9feQV02gUtDDSv4SOAijYbMT/g2SweDlBUDF/3XKGLlx3yHLlb1\ntniNFbWbeMbPqr0LrzHBbilCrWaBEFijKTzOFHZHjq8pv+B1PiKn70pG7Ws47FmirGOmRIg9ZFTd\nQB3mkAC3eQENqeGv62WJAjYOCVLEQgEbNWRqNgWaaiIQ8RxVlUPctY8DBlh+DO1HYAqD6USd3/7v\n/wNDgTlAo4BdJAVNYkTRt7eJ8kCjxZmm59Iyf6T+Y26tX8LbekCvaYl9Qg1pb5hdThae4NzI4lnJ\ngwJlj4KnnMH7RRFuAW1QuaTgI4mMxipdqMgcEeAPtd+jYLTzX8j/F706HzaBFwjiTsIAACAASURB\nVCdC5/XcTj/HIPd2z1L7ws5D/xnCE9t0epbZpg0zZS7rS9hFbFy0fY5iU9mgnY9qr7M75hR7avUv\nrwd/7wuamjKAD2orFpJaCEwq+ZwFU7DCRT7nKWNc4yIqClYyNHOgUyKMHBLgY17liAAOcg2u3xEB\nsSmv7zal8TDJI761+x7pFiv/TvpdrnGJZbopYWUn10ph30fWs02XvMqbyc/4f7h7j+DI8vvO8/Ne\neu8TiQQSQMIlbKEMCuV9V3e1JdnNppNIjiRKWsXOrhQTc5iYiNkVD7M7uxMxWu3uzGhFiUYSSYm2\nm+27uqu7qsuhDMrAe49MZCIzkd7n28N7zMuKxzlw81IVuFQhIt/7/c33+/nkTDpyWhP/kv+b4MwO\nhQ4tN4ynUFEjwCYG8izTzXs8zwSHaWKXIWGKs1yniV2mGCKMnwjNxLRuRnnIRa4ppAodM+UBchoT\nh4RHdLDGLfEU29k25nQDCAaJfmbxEmWddsYZw0ROtmPTzHN8oIRk6rxdeZm1/U7cniiZXSv1m3rZ\nLjtaA0Sy8x6WnFbyzUY8uqhSvPVznHF0lHiXF9BTJMAmDxgljoshJullUVazdB5A1VlrPDxW0sw5\n65icOVRtMrVjk1aqzin6zOvy0V4bMAytkT2+Fn4TUlDqEhhwz3CUBwR2d6nYRHa0fnl1qQ1iHskg\nIvGPfIVJhjjMhOyI095ikzau2S7gIcZZbtDCNj/nNR4mRrFbE3So13Gwj44yVa2IPlfCVYuzqupg\nRezCok9zXn0b/YMa7hMJFsy95DAqmhlI4mC1FmRB1St7sNgixDxWMjzcO0bmh01wUULjSLMreQkJ\n85zhJkFWKKHnIUcYZ4zljwZhHLk/1IwcuX4VjD0JtMYiNUlFec/MdO0Af2nzoK2UcRv3ZPM0RoaZ\nUsiIKbKYSOLkA57DRZzneY9WtjjFLWJ4KKLDTJZOVhv3KPvI2KogckqzhW2a2MVVTmAu53nH/Bx3\nOImeIl0sMcQ0X4y9RUWt5n3HJQUTZ0SkzmEm+BZ/Sx2R93ie/7X8b9l+q1sOQFiBnjreP93ioP0B\nfjFMmGbs7BNiDheycuYxB/lYc1ExCBTQUkYCZGxBnlU62BTakBBp9a2wWQ2iMtVo1oYVRFWSGmru\ncozNd7vAAtnXzNRQsZbuwGlNMMQkFjIURAM5vZntcAeb6yGwQvOBZayatJL+iwMSOsps0IaWMudq\n12lbjSDa66y5/ezSRA4zEWRqTRKHQhGR3YUdrDVSvFu0NvBRZ7khh3r0dRlOEEbeiQ0jD7NuqHtB\nrMBMDVbXoHMDuvTg+0mCl40fUzkp8EHvBSVZapJxeGmZEiKowUcYv7hDa8sqR7SybiqKlwV68BOm\ng1VaohFECQoHBKIOLyuGdnSU0TxbwXkqRTC8haWap68yjy2fY8AyQ0q0sUkrw8IU20IL4xyjiI5B\nZvAQI8AmLeVtVrSdgKwQ+sj9DJuOEOV7JtYWQmxfCSCpBQb9j/EIMapo6GSFTlZ4j+d5zEGa1BGa\nx8IsZnpJzzX9xnnwWz/QpH+llpvl/aAdyfKM9yp9zHORaxgosEgPdzlBD4s0E6aChlU6Wap3E993\n4nAkOSxMMMA0XmKYyKKiTjNhDvKYOfr4B36XLpa46L7OXcZYoKehRtigjU1bK+lhGwJ1bnOSmkOl\nFOcELu3dQrUqkQ9p6GWettIWj3UHmOAwZbTsYyeLibLCvTtbv0GnuMxPeZ1HHEJAooxGLm9TpYSO\nY4zTpV1mlaBSALfgEaMMtU5xnLvyA4pBeWASGMmzQRsg0YIc+d6hWeneWJEEid3JNuq/1Mp3hyLw\nQOHR2aF6QM9GLMQnRysc5hF5TPwjX2F5M0QmZefs0IcMkWKAGdRUGGKKJqLyarSySETjU3acFvqZ\nw0oKKxnmCfGAUaykcNXj8rFKK7KxVoBY0ERF0GErpvjMfJI1grxe/TmaQp0FX5AELtZp4w0+RxYL\n5/lUof1HqCNynHG6WOYpB5TdkIpluligl7VkF/ktJy1DW43VcogFpox9PDWONBQjNUQ6WKPFF6bL\nsIJeLRPF7zOm9BNXG6GjdMbKRcs12lkniocCBjqdC6S/YWLINklNVBHBh519BOo8VPpuFTS0sINr\nLEy8uYmm7m1iy37qMxooQX7KTrG1Sj2lgvdV5DqdrI44YE9g3gi20A6HDI8JsqpwF02YyDeIEznM\n7OCnhoo8BpboVmzFbiYmT1LfFzh/5kO+xd/wzNxNtA+q1Ibu8+nBY9zgLH7tDh3aNUQkQswTVHb4\nOko8dfdxXzjK27zEHm68RCmjYZMAMdyksWFnnz7NLNu97TCpATsIjiome4qMaOGTaojIWgddwRkG\nVfKd2wYBmojSwyLTDGJnn0t8zCDT7GOnipo1gizRxVHu0W+Y5bst3yJ6L8CT7FEqvWoO8oQYHuZ2\nD8jYNDssSd2YhSyd1pWGp82kcCVd+j3ybSZWWjvpENYYEGZYolshjZToY55OVhCQUFGlJR5Ft1Cj\nPAoxPOwqd2MRmhhglmGeEsaPngJltA1NkY8IY9yjgIFlumTKvqTBulGRFzRO4ChyOGQDqIG4CFjh\nxdcAGwhl4BLEP2dCEOvsm+3E8BBVhqpfCiMZtil7JFbssnWugzWSOgcVNKzTRh4TZTRc5iqn9u4j\nzkP1kMCyVw6S3eCc/B1WLdNjXWTd2sIG7XiI8ez+dbruh6m3hUn22mllm0GmqaChj3meiXxG2qkH\nUcJcKLKqlRpMT7smyVZfAWlfDuZV1o3y8273MG0aYosWxrgnL7h5iUcfn6T/0gQXhGsErJvc6D2r\nHNb/fz+/9QMNC/JqJgLltJ0bf3CekGsePUVUVOlVHsAAm7zE24o6JIhZyFK3iegUJE4PSyRxNASQ\nv5ZiXuOicsnZxqT2AI84RDTvZdj4lANMUkKHiTxeYizQyw3OoqVML/NU0fCe+wLHrtzDs5XGN5UC\nM6TPWRnnGAISEXxU0FBFzXXO0SpuMcp9Bb+kopkw38j/A933N8iO6LhhPykfdbBKDhMPGOXWzmmq\n90wYBnI4exM8y4cMKCskmQbexB1O8oQRtmjlFqfoYI1mwnxR8zNuuk7x+J1T8BNk2nUB+Q5nE5gE\nghK+8yv0sEQLcgF5u95CpmDD4P912i7H1/gho/kJROrMGUNygkylpSTpGpqX4fpTOnYi7Dbb2FV5\nWVfufySNyDfO/xD9DQk0kD+g5VOtfLncptkkTDPrtHNTfZK24AZTDJFT4swjPGGevoZp+9fmgTY2\n6NtfIaja4ITlDn/Bn/GX0X9FOW+kvq1GcJVpF+VoeB0Ba32fjGAmLMjR8oTy8vETJqzyccd5HC9R\nzuU/o0u9ygPtETYJsEaQxL6T4qyDe6fHcBEnQzNz9JEUHVx2fMjLvMUiPXzEM5TQEqGZXZpI4CCL\nhRwmKjoVps4kPtM25gNptENl6ojM3zlE/b5WjvjHQHWpxKHecby9UbSUieNCUBK8aqU7GMHHHP2k\nsOElipU0WWWwldChpUwaC6WwAdYF9s640EtFas0SnIDVgJ89PISYw0yONdqpIdLCNhkslNGiosZ7\nwhU+4yzzUojdfS8t9h1UQpU9SuziJS3Z6BPmaBG2GRx6gmcoSrMQ5rF0kETdSVRqAgREe5H5eIhb\n3lOM8IQgqw3foIk8IeYZZhInceK4GwzDCQ5TQ80uTURvBuCmQDWgZ7JyhOyghVjGQ37RKg+HH8Di\n/z4Cz0hov56l4tOwSpAyGuZWh6nvaZH2BKpXNexc6WT42Ule4+dksDDNYCPgVUInA6G9NcbGHqPP\nVgGIKwvIFDblGBrs7BNklTll8dbBKoNMYyHNp5xniiFOcxOnEJePGKPI5SUVMAORzzuZdvZxevUe\nOn0V1Rm42ztCVVKTUxmZYggTWZ6tX+XrsZ/ymWeUn/AlloVONttuYqDAEt3K4kxFDiNbtGIih5ME\nvSxiJcM990G8F2IYxALtlQ2yGhPvZV9k6e4AX3nm+wwxTUwJqJ158AD1ch3aQZyAi3t3sZzMYKun\nCSbCFC2w6vHzoepZYnjotS0iUsVNnDDNCAKcbrlB8NUVQEAl1FiVgugF+Z2dxMGHPMuUEu7rPf+E\nDBY+4aLsabQ/5TfBr377B9rryMdUN+U/szEPv/iPr3GfMdZox8MeXSzRwyIbtDHOGBGaaRG26VXN\n08oWJ7mNlxh29pUvpBxdd5DEzR4v85biZJIvfBcNPcxJ/eQEGZUkUiOJnYfbx8hHbPiOhKkjkMTJ\nOu34xR3c9Tlmr7TxqXihsTtzkiCOi9VIF2O+cezs8w4vsk0Lz/Mer/AmJfT0xNZQpcC2V+DF+jV2\nrTY+Uj/ToFnUmwU+a79CqaAnovR8zFKWfRz8tfCHxPBwnk85wkPuc1SRnuiJ4mGDdhDk+7IG/PcL\noHoxR23FCFMCCALpjA2vPcqLvI2aGlnRTLTTS1VSMyUNYxUyHOIRtt0i4hyMBSapBgRmbZ28xctE\n8HGRj7FXk0SbrUyIh0krAZcb0lnuCCep+DW8/qWfsiP4+Vi41LiDbCZMgE2CrNDLIu3pLVasQe4z\nSj9znOI2HvboYI3zuZt4TDE+5RwRfLTatvGsZmnNxOjzz9PtmWdue5D6hAapoGMp0IPBVGCCw7wh\nfp4moo0u3yEe0csCO/h5wGhD1RIzuBCp0y0tEhM8XKtfoJiyIbQXmX1wmOSwA79uh9l0P3Z9ksPa\nCV7JvsO8qZstoRUD+YZleIke8srxZfpuE9wQeHLSDYMltIYi9Zoo36MUkXk556Dr8CwBNulQXvqL\ndKOmShvrxBSprI4SbvYoIn8n5gkhIdDFMod4JC866KP32QWSkoMKWu4JR/HYYsRtLiY4xD4OelhU\nhoiroQjSU8ShWLINFDGSZ0iYot+hwsY+FrJoqHCMcZKCnXU6MJKnU1gmTDP3GMMv7PAt1d9QRMem\nuo129zoJnCRx4GKPVrbl2DlGLvMhz+Y+Ysskq1tWCOJgnyZ2OcSjxnP0C+dXYEUNBpA2tayaehC0\nNZgV4O+RTx8qwJpAecvCwqERMCDj0Z8K8gLOAOShOq/l4wvPENLMc4pb5DBxhxNK2MeLgYLc33PV\n0LgqfMYZ8hgZYIYUNq5znjxGXMTl8A2tuNmjnzml7D/ME0bQU8DOPlYpLf/bLpBc8v9DKEHKYSaj\nMZFr16C7WGUvaKQoyizMfmYYq4yT1DipiBrW3LLZoY1Nchh5xCFl4WJlhgGma4Mkck6OW+8yxJRC\nFSpTRcU2LUS13obk00iOEdMjqudVHOQxxyvjpDRW8hjBVZfZof1QHRHZ1XnZoB23EGfd1c5d4TgO\nktjZJ0ITkwwpElYrc/QhINHOOgPCrHKKsEpJ0PJTXueN7BcQNBIh3TyAnHdVRclLBkLCAgNMM8GR\n//8OtNDvTbB8fJBqSgcfARuw/nY/68V+iELmVRfnfNcpo+UnfEkB4taposZLjMt8RIg5njJCCR1u\n4qzTwTJdvFr/BV8Uf8YmAQwUcBLHQ4xjwjh5jCzRzSodbNPK6kYPtTU9uCWeVEaYqB9h/yM/7MAn\n37rA7we/2wC9NhMmjYVOVlklyHTpEEgSh4QJPMgBkkBti67lCIVmkboOVG4Q0iAmJTxt+zQ37TTI\n76JQ5+nAQQpJGac1xRAOIckmAb4388fkdmzMXurHKcSpShoydQs/3P0G1TkzSKDqz6MKFqg1G+SU\n1QzUzCYYrRA4sYJGqNDGBj5kW0ESh8wz3GyBNTXJMNz9goTHEMMYzHE+eh/JChUthNJrnLNeZ4VO\nVNS4pz1GTEn+9THHn9X+D55TfcgS3RznLmVRFh0e5BEnua24uqoUMJLEyUMOE7V6WKSXRXqxkCHI\nCse4i5s4NbVEd3UZtapKRrCwL9gQO+VVn4oaWspoLEXMf5Rif8tDSrJTRYWZLAUFGmwhowhBTYRp\n5i7H+YQL6KUin9bPoxGqhMQ5vs7f0c8sx8VxHJ1JWtlmMxAgj1Gm1Vt3OcFdAG6Zj+MizhBTRPAp\nCK9lDvKIBUK8n31e3kUIwLYAWj3lOb18+tAuofvdfQbcMzQRoYN1VglySzpNm7Ahv2QkiajQxDt7\nL1JesOE+tklAtYmHGHOFPnbe7cY4to8tMEEJLU6S7GNjfO00enuWHvsiWirsY6eAgW/Ff4B1qcjj\nsV6mhUEGmEWPnF4LSBtY6xnWVB20ssUJbishpBZE6lTQoKeAhgpVNAhIjQRmCisidU5yi4M85hMu\ncJ+jbBBQ7q3DtLNOkBVS2InjQkSiqlUpjbEKNdQNDqAs3DXKSTp3jnLICsclhBYw2HN02FeYCx2g\nfkQL/1aSTx++Lcj2hqogh5BMwIvIJfsMMsBXBXM3D/GT81+iW1jiBd7FzR7v8gI/WPwDpKSW9tE5\nesQlvEQIscBZbuAlSgQffsURKO80dznMBKM8oF+a4R+Fr/KAUfxsk8LOO7zIWeEGxuECnY6w3Eur\nQ71LwCqmEIC/0f0+bV2bDeuDnx209RK2rTKOpQi1bvg0eILvSf+Cj/KXcRgT+IUwnSxjoMi1nYuU\nv22HKnz8lZeZu9RHq7BFQnBwnbOISBzmYcNPOMwk/0H4N9xXH0VNFcdMHlc2z9+feo1fBF9lLHiv\nYQFP4GSbFm4IZ1ikhyZ2+R94h4H8AleNF3jAKGmFi3uJj3Gzh0YBX68rR6EvRD8l7nXxVuVzqNQ1\nhcOaQUOVOgLPC+/zxeg7LHlbcBPn+79hHvzWD7QSOtn5Y0Peqj9fhwkRwiD+XoV23xJbtNBHlstc\nBSCCr6GQ2aANL7uoqbJKkLTy8z3c3BPHAIkdWmgigoN9bnCOBE7O8wkqqgwyjZ4iv2p7hfm2EDvr\n7cQ/acN6YhftkSzlDTNP1w6zEPyMIaWLMkc/qwRRK6Vkn3+DlGAnjJ+T3OG4dBf3Vh4egeG9uvwQ\n+kA6DTPdQRbpoZtFWtjhl3yBRbpp0W1yyPeIHhbRUMFDjDDNaFpyNHUnMAp55mshEjE35VsWpA0R\n1ZUSdVFNbVdP8NAs4f/cRvFHFllFZAXRWGbzWi+CQeLUyVv4CZPEgZEcHawypTtEpapGdzrN5wxv\nYKDAFMOcN9xHvAVGlQSVGsfOPGK9rY23eQkdZVrYpp01jjGObzpF+MA+uzSRxopf2qFZCNO2s0tN\nDWG7F6OUp6DVExF8SAjKS/QOMTyksZHGxuncONpKmYzFgOtJAUdiHjqg4oQZZw9z9LFDMzu5Vgob\ndlqGplG1VMnmLUxJw0RizUiCwJ7HhY4yu+Um4lcDsA2aSwWCnfOsPA5R/a4BXgHP5SiTDDPIDCe5\nzT52HtcOkqi6MGsyiGKdDtZ4ibcZYIY8BprY5Tk+oCqpaK1tk1XLrrkHjKI2V9C+UiH6ipfx/Bip\nTR/lOR1YBITzEmfd1wmwRRlto+C7VW8lpzKxuDVIedWIdTRCpaBHCBTpVS0o4G0zbsMeGwEJkz4P\nEizQS1CQdSVsaihW7KxqgvwX/Z9gkr6JS4iTcf0VL+xfozexjN5VJIsJAB1FUoKdp6oRkjg4zASn\nuMUkw8TwEJA2aantIKpqSIL8fC3RTRYz+9g4ygPGuIeNFGmshJjHRZxt/ITxM8AMp8u38O8niTuN\nLKm7mWQYq0amoRzgKc+vfUrMZ+WH+q/ymIMkkI3fwx1PKf47Hb0sKn3MZkLMYzib52HlDLgFNE1p\nVP+TmuKsHnZF+b4qBByrIdSAOIjtdSSNgK05ikqo8Qaf5zh3ySNjoPp7JvERkXe+Ui9pwYIAjR7o\nvBRiHzsjwhP6mENCoIROBjpv7/FNzz/Qqtsigq9hIHARRyeUmAkEkRAQqDPDIEt0s4uMQBvlARks\nPOYgJ7hDXRQpBA0c8E8S0cn3d0+LI6R+6aN4yYC2ucJk6gBSTaA8aZcBv6N1nKM7JBNutte7WRtY\n46jhfgOM4CKBmxg3OMsiPSzQyz52GIFz5c8AmfS/SxNPGGGMcdbp4L368yQEJ2ZBHkLvc4UlY7ei\n8KmzSpBWtmhhGwMFtJRYpJdZBniLl9F7i/SwxNcdPyBKkwJVkI0KNlI84QA7Xj8RmmhRwnr/3Oe3\nfqB9k7/j3a7nmfjTEzjadgkYN5mePoy4WadnbJIRnqChglthAr7PFdRUucxVulimJ79Ee3qbR76q\nwsaz4iFKJyscqj7Bv5Mk0WQkrPNipEAHqw0LsUGhxvuIsE47BQxsbnVDBfrMs+xYmtly9lJ/ouNW\n8DQDzMovwNJdljRdrIpBOTasqTZCBPvYsSTzkITaaSAvoLorcwTRQRU1YXwU0DfUOG7idLDOCW7T\nwk7DCvCQw6TSLo7Y7tLFEsdU4wz5Jtl7zc2KImqcrg8i1ut4ibKn81EUkBE8ZtAZixQiJmiVc7Ky\n4dhEiAXa2KTNs0R0tIlTjluM8gAtJbrrSzKX7nvIRyhXwDBV4bh/nHvqY0wyxG1O0sMijzjEXM8g\nk4lhLOYUx7V30ZeLZHVmxAyo1qE9EQUTTF/xktbI5IZ3eEmhd+vpZAUXcSQBNAVwFgvysVIFGAdN\nC8TPu5ijj1WCmIwZzO175CQTPv0uAf0DOc5vVePQJxtaD58mTN7voLBppPLYwEL5AMyIch9pBm4c\nuoDdvU8H6w07g1MVRy8WCZeacenjGMmzSA8SApu04iSBjwiiIKFXl/iEC/yd9A0EQaKbJRk8S452\n4zqB0Cb/tfNPWP/bfiQBwvixkKWf2Qbp5R3Vi9zdOUVl1gh+CYs2Q7rihOtabocuIXQUcDjj+PVh\nqNaJ/T9+3nG+Di64fzZBVS2CVkDn3gcBlleGYE2EItw+co7nu37FN/k+XmJMMcguPuqIhGnmqnQZ\noQL/Uvt/McqDBsHmSOYJxkiZcKeLT9VnuM8YYZppZ402NtnHzhLdSoex2qDpuInxed7gYOEppo/r\nSFbYOSvzTPUU6CkvopUqPNaNoGqaxlbKcFD/mBDzMv1H6att0tYIBaUU2PAAM4RPNGPRZ7ksXuXi\nq9e4wwm+s/PH5DbtqDvKdDbNYySPnX0sZFiiW04j1lqJqTy0s46FDDVU2BUs11R0mOh4O5vBXqba\nhmixbCMJAkt3DsAMRL/chNuyh44SJXTME6KpdZe+2DqD7in2BRvHGG/UPe5wHAsy5FlDhQROUthw\nsQcIzNFPCR27NOEhRhEdGawYdHl28JPHyKuGn/PW71aI1Txs7AcoftclsxwPgvhiGcFaxkCBMfc9\nUm4bLuK8wLvY2OcpI9znKDP0U8RADRUh5imhI4yPbW0zp/kMdynBhO4Qaaw8ZJS/LP4pW+/0ojpU\noSs4hUqQu3GyAPQRVtKcr1ynJ7lMzO1gT/QwSz+/4hUKGGgmzNu8hJ4CBQxYSNPNMgmcVNBQQ8U6\nnaSwYyHDqlIP+ec+v/UDTUWNZNVBS+8KvaLc7/i9wb9ibPAeHmI0sUsSOxIikwwTppmz3OAZPpIv\nRjdzlAUdRZ+efmblxBEahmtT+NeTlBxwTzfKLU6ip8Q4x5ilnx4WOcY4FjLE8NDNEjZSzPf3UxT0\ndAor2Nmn68srlNHSxTIW0mzTgkFdoI0N1FTxEaGEXikKbzDANLq3gKcgfBmqHglVGGiHvSYzZrI8\nx4eARBg/ZrKNozEQUFGjt7aArlqlTbfJUOARdlKs0EUFDU3sYiZLiHmW613kM2ZGbffoYw6TL8f1\n889S+0QLe1B47ILWOgfPjdOJ/Pt4ieIgwWEmKGu0zDr68LNNMzuMZR9ie1iSOzQ9UH1FxY3PHcVB\nkqccYBs/R3nAJMN8tPsc6Q030mcixCH5lTwbw2306eZw5vfBBHPPttG+swO6Otc1Zwkxj5co7/IC\nVdRKqXMGEzmSBgs1VYa0zoLWV4EqOBZy6CI1uQxMkFucxinGOWJ9SBE9ZTQ42Oco93DpE0wpTJJ2\n1mkWwuwemmL+UC9PVo9Qf2qQ77E+DzTVSU162T3XhE1M0cE6L/AuPiLkBSPv66+wg7+RYmtnXdlH\npjGT46/5I4UVWZKHLDkK6PmkdoG9rJejlruMiI85qblF4nUXQ65JgqxiJIeaClG85DFiJE89pZED\nBAWB7Sc9tPYvUPm8hmLNSLt7lc1igKmVEdQdRbRfqCHlBQrTJnL/5ITLNdrGZlEJdQqSAcEvkcs7\nEFUSJ/3XOcsN0tgoocdFggoaymjxsktU8HKrfIr3tVfIY1So+hZKVh0Ga4F12pngMIv0oKbCKA85\nyGMmOEwaK2GayWKhgIkiWpqI0llfJWMwoRopshgI8Ff8dxTQ8xLvYKnnKYpymGXG0IdgkGQiDYvU\nkEvqh9FTRU0RPZ9yXoEiZ9BQ5mvGH+MkzipB3uYlJARe8L9Nxm8mSlOD0O8jQodyenCPMWZVfdhI\ns0Ur7awzwhMeMMrPs6+RftMHMXCciHDaeh0nCZboYclQg6KKxfeH+cFr3+RZ8UPa2KCAgUW6sdlS\njMwv0t28yg3baaqoqaBBQsBFnBhetmlhln7Fpq4mUvYxrJnkpHC7sUtTU2WGATZoo4ldHCQ5zU3U\nVPnr8h8BAvgleCSAHsytCdJPm9he6EF6VcUp02ec4hYDzJDEQScrbNDGx5VLtGq2+CY/kI3zuMhg\nZpIh2WWnk7U1ThLc4QTxvAvL8QSisUShYiSoXeMID+lglRW6MJJn8P4SYhxajydwmve5ZxjjvnQU\nqyDDCNZoZ0qhuBxmAovipM5jxEESHaUG9LiE7jfOg9/6gXaNi2xGuiltGTGMFekQV+lkmRDziNRx\nkkBDhSJ6DvGIDBZ6WERFjY94hvVQOxoqmMjhINnopGVFE2VjEt12jZB5gc+0Z3iDz7NQ6MVjiKGi\nxhNGeK/8AqvFTnzWHZnbKOjxGGMNnplInShe+phjlAfc4iTrqjZOle5ycuUh2nCNZzs+oaJVUTLr\n0OlKSDdg+XvQvQHaF5B7KUawxvPojFWKejXbuhb0FDnAU0y1HBGVj3GOV++iUAAAIABJREFU8WO+\nSlplxaLKNFZYIjSklrPID2gEH3fjJ8m/6eSD/ldInHLSxxwHj4wTsbahd+Xo8srOsCulq3grUXbN\nbh5xiIccYYLDzJb60WlLtArbtLCNbaIk3wN1QeGKhl/2v8g7vMBhJkjiZJVOEjiZWDxB7q9tcAhs\nr+0hGCQOe+8yyDTOcgLHZAm2QPRJ1EQV1OXy+a8NwrKTLoKbOCCwTCdbQiuirk4eI61sMafuozSg\n49LAx8Rwo6fAKW7RTJgiOlLYWaeNddo5wW2GkUn4l7nKEl1McAQBiU5W2PEG2BXa5bsNDaARoALz\n1RA/1n6VABtYyTDNIH52+Bxvco+j3CifY6fcwqB5mjPcwEiefRzkMPGEA2ilCrmSiZB+Hh9hqioN\nm7kO1gxBVrWdWMhyyDXBGPc4wkOcxJEQ+QWv8n7xCnZ9Ent7lPhOAOZBd3mfbxj+jnVDGw+lI/gI\ns5QJoc4KHOh8hMWfoY0NMkct3I6dJavTk0q7SG05QC3SGlqmRSH5P8uHXOQajuo+Tdtx1Oo6d1oO\nE8WDhSxG3qTLvCy/ALlEDhN29mllCy0llujh3voJUvt2Lo58AMBNTvMJFxr9zjDyEbKZDKM8xLeb\n4k7zQbYDLcwRIo+BgzzmoPSYtM7EnNBHX3UOXyTOvsNCXStzNX9t/nYTl9mGnGKJbsxkWaODpxxA\nQwULGXk3j8AHu1fwu7f5F6rv4ybGDi3KOJOPuwaZopMV1uhQBrCPKYaoI6KjRIt5C+1XqqSLVsz2\nNI9yRxC0dfIqI/pgis5DyxjJNxLTAhJpLNzlBFvaAF/1/BRbMscT2whprHyNHyFSU6j9PWzSxr3a\nGCulTsp1Ldk7XrYPtLPtbeFJZoRma5hXeFOpHsiS3FY26S/NsqdzM2MYZM/g5ubwZSQDaA8XSE/5\nICVhuxDDbkwQQXYLHiw+RZQkMnoDJUHHL9OvMlXwEGt9V9n1BtjDwwwDimkjzgU+5RS3qKBhztmH\nlygeJVgXRF7ELythpXbWKIVUGKI1hPtg6JIwhXL8ofAd4riooqaTFfbwYCFDD4uM8KSBX7NW03ym\nPsOP+BpPGSbEwm+cB7/1A81ChnbvAjuZDlqlLY4zThVNg9hdVqChWczUERlmkhQ2Fuihi2VqqPiE\nC+zhxkIGFTU6WaEmqLjWLDLYNI0gSOxjw0mCs4YbRPGyhizdu7V+HqMrjU4qsJrpRGWoYdAVWKCX\nbhY5w02a2GWSYbKY0VDhYuk6oR+sy+mqAdBt1tFl6pi3KvIvpYf2IBCQ/44I1EEXrqOLFbHGweuX\nU0CoAS/Ue0U2CRChCQGZv3eMccpo2SJAkBgPOcweHgaYYVHqRm/N4/5yFL9hh8M8pJVtXtH8igMd\nU+ioUEOiYy+CsAtVDdQ6JebUfdzkFIuJEPldB6G+x+gosUUA6/EsNbVI21KMvRYHOzSjo8w9jimo\nqAh7uDHYsxRf1aHrz9Fvf0JWshDGzy1O4VVHcbABu9Ae3mI10MpdTnCbk6SxgmJKzmJGQmJkf5py\nfZFFpxzOKSu7iCxmZhggiYOMAnTysIedfQoY8BHhEBPkMVFD3UBXWUkzwRGW6KKNTULMkzeZeL/N\nj1TTyO62iIBxMMV+1c7f7vwR3uYwL+nepopKJmPstTH32QHKHxpABd/+4r9nePAJHe4lmoQIJnI0\nESUjWOjTzzHCY/qUIvamPYBGVWnYvC9yjS8W3qApHSHc5GWRHmZqA2w86aP52DW6jUvEtwKwDsJl\niU+4wMO142CqovLU0VtznPTcwEyWWQYYZpLLfMhJz21mGGC8OIbBU8JsTQACy7vduMwJSiaZyWgm\ni6pcJ+0wKVLcHcY5RhSPQgLpw0yOPuaI4ea94hX2Ij7KH1jk9PFrYB7J8VPpda5uXCG168YX2sBr\niKDRVphhkF/rVXLNRiY4wjUuksDJJT6mWdn12qtJKmoN6+p2DNoqqkqdsLGJCQ5zg7NMcBg3MfSU\nKKCnjzkCbBLHiZUUOczME1JesOuEvU9IC1amGeQkt+hgTYY0E2AfuavlZo81BfHkYJ+8UqqWEORe\no0lNfNfL5n43Hs82Y8Zx2oU11uxBmRJS97Kz0caSKcQrnjc4wFOcJGlli01XMylXmhDzxHBTRqs4\nGqPyiQNO1vIdJMLNGP0J0Erk3ndwd/QMQ4OPOMQjXCRoIoKVTCMwoylIGDQFYqJHvu+2pih0GbG3\nRskareg1JQask/QyzwCznJDuYI6WUKUgMWCnolLzZdePWSPIUw7gI6IkN+04iZPGxr5C3FmglwRO\nnCRQUcNOkiBrDDBLBQ3btKChIgMrDIJ8Nz8Lwp7EgdBTBplimiF+xNcoYMBDFAf7TDOIQ+ndRvDx\nsuotzuVuoTcVucozbBL4jfPgt36gneEGvdoFav0q/OyQwMk8IQBe4m0cJHjMIb7DHxKu+/i8+CZF\ndFznHF6irNDJjeR5REOVl/VvYSZLGisZLNzhBH8j/gEnuIuJHM9wFTdxvsfvsUonaqkKD9Xk805W\ns055J/VsndKwgR1TM5pinT2HhyArXOUyB3nMWW6Q1RngAOx3Gik4tDTP75Md1mL+i7LcBbsImlPI\nibcbyHFiLzIcN0mjeMwskAfpRRCQ6GMWNzHMZNnDg5s9lukijotBphlkmnGOc086yuTGYVoC63xe\n9wbP8x691QVuqk8TxYtVyOBbTZLrFJlxdxJx+xpkA9lerOGQfYKyUUtAkF/6ZbQ80cp07fZfxAhk\norz879/CSIFHHOLj+kUiyVbOua7xOc+b3PMc5UHtKDtSC3qhSDdLjNYfENrZoNQiUG8RybqMrBFk\nln4e7o/xKD+Gyy/Tu13E6Y8vobkHhKHpTIxrPTo+5TxPOIiNFD7CRPFgIk87G+zgbyToChg5zl1m\n6Od7/D5ltAwzSRW18rKIc4tTSAg0EeH4wRtoD5ZZq3cgITAq3meZbrY9foZ0UwTYwEKWD6TnmNsd\norxmkBE9JSj+hZn7O6e4f/EUbf/LHM+oPsJKWklorrJBO3HcaCnzjPEjBphBS4k6Kk5wB39uG0s6\nT8UjUhANtIkbIIKTBD0sMXVmhFzZSXHewZ29i5AQsBzeJVb1UCgYeJw6QuK2F8kp0np2C4CDPOZ3\n+CGt+i1m9X10sI6GCr9yfo75aB9XTZfZx85p9U2SPQ7m6aWbZfIYGzuge4njFCQ9l1wfEWCTWamf\nndlu7C0xpEMilWYTLc8tMiv1s3hvEFbVoILInQ4iA+00n1vFqk1RRM9fJP81PzJ8jR79Anfrx0lu\ne/nDwHc4yCOmGSKrNrNGBwv00uLdUnY8VixkyWNkvdSOqJNB3H3M8hJvoaFKmGZWCVJFxXN8oICN\nB7gkfMyS1M2d3Ek6zcv8fv27nJc+ZUHVw0NG2aJVodyn0FNXBpuWZsIyQ7U6RgUtJkcatbHC64Z/\n4grvN/iZswywJbZSd6go1mQyvlepGfSE14k0udDVi1zI3WTG1oM3m8BeSJHwWLjHGE85QFnU4Aru\noFWXEYZU5NQWPPYoX+fv+WrmZ6gLFdTqGoZiAXWxSrLNjFQWOBae4IstPyOPgWcs14m2OPmx8FWi\nLi8CEmt04CFGO+t0FDaoGFUs+/38SPVVfsKXOKIcD8/Sj0iNw/VH6KtlxB3YbvLxmeE0IebZoI1P\nuICTBAd4iooai3QDMhNT7neKxHGR1RjZGHIgdomEfr5Kd2yT/+T571FTbeDWnCRoYpc9Bb7+Ac/x\ntDCMSx/niPiYk8n7nFGN83Pry/zsN8yD3/qBJkADAqqiik7RyG8SYIUgI6RJY8VJAlGss4+daQa4\nmz+B1ZCiVleRr5gohc3MDfRxiEckcJLDqNzTyF21TQIk6Ockd3iZt+QekWBj+3wbsbyXxJMm2d+T\nEilFzQT619hMdfDj8lf5E+1/5RS3aGWLM7UbWEs5qv1wx3aUccbwD+2wj4Ov/9mPaC4l5GO7Rahc\nAyTQvAi4kbt2Aci/piHus9KqiSNkYK27iVU60FMiyBou4swjMcMgaax0sEYNFbtKR80mpBhqfUyT\nuCsf6dSeUKgb0FDBxR6Sug4WiGibmCdEO+v4kPFEFdS4iPMH9e9iF1K8x7MU0ZPFzPH6XRzFNKUv\nCFAECZHnpffoFpZYErtRmepc4iNGeUAJHRpVlSpqEjg5zAQj0hO2/C4WxF5E6izQw6/4HE/SIyRm\nmsBSJes385DDlNEhOH9F16l19Ika661+NmgjiZ01ggwy3UhYFTHQRIQUNsY5RhI7O7TwFX5MDA8P\na0dwqBLoFUSRmz3l7uZtvOyyQwtdLKOjRFHUU5dEjBRkGahpkn5mCbKKhirHhHEcg0mig15SdRs7\nqVbC/yEol2Yv1/CL26wQlJmWzOBU7kyCrNLBmtLxSrJGBwX07NLEDfdJTltvYyhUGKrP8z+a/k/M\nR7N4iGEhw9HOuzwyHcWqSeEyR9kptoKmjle9S5d9id39ZuKWJiTULFZ6aNNsYGe/IcFcpps0NvqZ\npVWzSdZvZA8XMdzK7ruFBxxlg3a2aJWltpVWkhPNmA8ksJDBSI503gKPBPyhTUJjc0wzwOrjEJVx\no1zU1wBlEPqqnL1wFY86xp3KcVIlO9mrXqK6AF2vLPM74g9ZD7TjJMEebm5wFhU1wjRjJa2IZm2U\n0TW6gj5dhH5mlZdiBAGJKF5O1W5xUHjMltjKWOE+xmyZDzwXcZAkWFtl19xEKLVK1VRHqqloFzb4\nQLzCDAMU0TVCVov0YCRPM2HyGNlZ7CTQuUTAtclqJUgYPy7iHFmaorN7hRwmullizHaPFToVX1+O\n4Po22hsS/nN7qIogfASnWh7BGtQH4M7lUe5wnMnCMPm0hYPNExzhAXZXCtupfQ7yhAPSU1o2kjL0\nwIDcH90G8RWRX3pf4uXYh/zp7e+QGVWjzkroIjU2+1r5J75CCR0eYgwyDcAt43EMxiJJHICMpnrI\nEU5wm/N8ShNR1sQOekqrWH+RI9S9QeGVB7RWt1hRB7mWvIQ2KzHZMsSAOEsv8+QxMskBQCKHiRJ6\nujQr1OsiHxqfIfE797gvjnKVy5zhM85xHTd7vMfz3OYEY9wni5m72eMkd338oOub/NzwGmcN8knD\nVS4DP/1n54Hqz//8z/+bDZv/1p9vf/vbf77zP/9n0oJN8XYZAYEhpvGzrZypy7swG6kGMPh69Ty7\nmx20Otc4JD7BYMyzlQ2Q1+jp0cr3azdq55kvhBjQztDDEmaySpfkISX0jXuGLvMySYeNxb0+qItY\nLu7RH3jKiDjJgHmGdtU6X+InjPCYh4wSrK/jK8SJ2m14K3s8UB3hKSOc4TP6q0todTW4B9Ic0Azq\ni1D812rSJ3UY2qvMXW7nvzj+mNvCSXYDTh51D5ERrcRxE8bP5fzHHLi1xKA4h9pWpIyONjaxkWKL\nVqqoGOMeY+J92UdGlY/ES7ynegGAk9yh+84OdSM8dg2zSA92aZ9jW1MItoqsvcAqqy7UKTpZ5WDh\nKX7NDh0f7aLfqXL76BGmfQP0lJfxryeYd3bRxgb/pvYfCanmSQs23MRl+akCpBWRaBW3sAlpYni5\nxkUecoTtWisryW68HWGOt95igFnsCnW9VdimrhXAWMdZTDOYmueo5gF+1RYBNlFRY5sA7/I8y/Sg\no8wWAeqo0FNkkzYW6UUl1uWjR0lNsxDmJqdYIMQrvMVpbimb4QGu5i/TpIlySrjdCAJ1sYyGKgd5\nwh5u4rhoZZttWigJeuoGgfhtHwCq56tkdCbmHh9E15rnFX6FkSICEqe4zZHaBBPiEX7BaywQUo53\n7BgpcHLpMfq/r6BZqtMiRTnomSCsamYXHye4w+vmf+LfFf43vln6BwyODFmVBSsZelnkqP4+Bzsn\nMLcn0asK2EiTw0wWM52s4maPCE1sEWCHFgqCAS1VykqKroSeLQKKpfsw4ZqfYfVT8k4DiTkfcbuD\nVt0W8+khkm+62dM2sV0JsLveQvVvDTLOqQu0YwW+fO77HO++hUXMUEJPSrJTFnQUwjbwwljrTZ7n\nfXSUWaSHLBYAtFQapV+B/5e7936O887z/F5P6IxO6NyNnDNAggRzEqksjaTVjjRhZ+dmZn3eW9tb\nXo/v7HOVy7Ouq7Jdu1dzPtf6Zu9ub/JqJY1GI2kkUYESRYokmECAyDkDDXSjE7rR8enHPzx9dJXL\n8wfM4hdUofBDo57C8/mG9/v10nanHcxgY5+jhfs8vvoFPeI0OmMeHUWWaCGBk6H9UWpiYTJWIw41\nheNWllSLiR18NInLKKqMXU0RMzgZk/v5rfA81znLWa7RxTQ3OcH9jZMYbRlOMEwrC5TQsW3xEcl4\nyOlMdOsmHyWdW+QF9GqJ1+SvM04f0QqOykwWGynEqjLV1XsYsmWEJBpBPwychuSQkc8MFxjmODFd\nNV7rLhf4nD/lb3ky+zEtugXyGPm58EesewI0hRYxlkraYtcFllwO2ZOjUCVhMmcYrjrGG/Y/JOq2\noyKxRVCTtmLHQgY3UeZoJ4obN3tsUMMEvSzFmymbJEJsoiePmSxZg55sp5Fsgw6dsYAzmyKvMzBl\n6mJuvJfwWB2bQR+DhhH0FJmlHR0lAmxziU/p+mAZ30aCFscSMbODOdroYZKj3CVAmJOJe6hGld/k\nX2KVenZFH/uSjVD1KiM7Q6ymWxiqGmadOpZoZvEvX+cHP/jBX/5/Z8Lv/Q6tQ5ghiY3p2DkMphwR\nfQmvtMtXmcBDFP/BLnVmDZW0SYj7DFIl73O0+RplQWSaDnRCiYtNl3GQwEECNxGcUoJpSycKUgVv\n1MA4vSzSzHvqV0gLFl7gXXbxaC+d1hQHOifH3Tf4jvBjHCSoZR2Autwa1vdK9HXNY9rIUwpBwWGg\ncXGHoY47lJHoVKcw5fLgB9wgvACFv9BzP9CLKCt42WWny8sdYYgPeZqVYgO9unFMZHmBd7CR1FJa\n+1GoAWO4yJN3r9P+xCIfWJ9gBy9HuMfLvEUBHW/zB8zSjpEcCRyc4ga1rBPHAeMg3ofG/2qFj+Un\n+Hvh6/y3tf8nITaxcEAnM8zTipddzr91B5Kw9w0L5W4BKaYyFHsI22CcLYIKj9lvoJsuId8pk/mG\njligGgsZisjc5CQFVc9OzE/SZeeP+AUJ7EzQTRE9z0m/xROMEMbPHO1sqwG+IbyGl11maWNa6GLX\n4OUpw2XOi9exqtp9wgS93OZYZVUd5k5miKzFxFa2htiED1JQ3DNAg0r70VHOCVc5LtxGQmGKThRk\nLvMUizQTx8m97CDhN5qIdtewf9TKXLqNp6ouU8+KtltTl8gIFqpIc7xwG0Gv8iZ/yF7ODU+pUBRQ\ntvQkpABYYSfjZd9i5Sj3yGAhpGzgnd9nqPUO7dIM3ZuL7AQclEURRyGBugu8BoILhHqwFHIoeolT\n3ODx6DU23W7qN7YRZWhxLRDFxTZBZmhHAFqZ5wKfoyJwk5N8Xr5AdDREsHeF/0b3b+limmucZTXS\nQHbCiVBTINoUYabYzknjTUzkUJC0uz5pn7NcR7SphJV6VD1cLjzFyuVWCIK6JJH6frVmNHwFGAEi\noC8XuMQVzBxwhyEGGOOkfJOfy99iz1SLrjHJjYqxWkcJPQX2qWKdOixkuMBnNLLCQ/pIYKedWa7w\nGA90h/gT6ZcwAelTVQxznAR2WljEFMmCJBAV3Gzoa+g+N00WE4eUB1Rl8rxrO0XZpJkTFmjBSZKz\nfMEAoxXtSZHCspn1tXZunszjY4cWFmgyLxLeqkWyxBjU3ec8V5mlnb+2/QX72Hhz41XKCybMvXFe\ncL3N8UrB/pZ8jJX6Ol6MfIjgKaH7FgifgFILEZuLamIkVAfbyQBdjmlqWaMhvoWxkGPDGOKGcIob\nnGZfsLFXXc1L+ndpeW8DBqDoB4eaYJ5WrrvOMEkXG9SiAs/wIWYOuMWJSvE9V7la0e6a52llhQZ6\nGee88yrRCl4siucRcMDsOKCHCYzk+Mjy1COJ8fLJRjZX6xDlMiqabaGFBcoIZDHTvLGBuAJYwX0/\ngashwaEzU+jnioiTaLv3Mpx+dpg2xxx30kOsHjRBScQWTJLbsJPfUbjz7BCGyuf+XV+/9zu07/3A\nz5XyJSJJL6ecNwiI2yiINLHMfQZZ1dURZJtV6lmjnhYW+TY/pVFY4SH9hFU/x4XbfJNfEGSbPEa2\nCbBCI3O0s6HWkBCc3EidZlsOkBeNjBYHiB+4mNe3cmd/iM1ULYUNK6I3xynnl/xx+ec0KUsciBrl\ncFOqobo+wpKnnmvNJ3ng7SMl2Nlz24jh4ij3aEuuolsrI8TRgiCNMHeylvviERRkRMrsCW5AxUsE\ntxSluhJnNZHDxj5NLGExp5HFEvJ9EFbByT499kkcpj3SWNkiyAMOc1U9x1YxhF/apoVFennIk3xE\n/90FhI+BTpjvq2dFaORG+TQbgnaHVsMGtWxQRsJDBHtjDKNbwbBbQnxNRbgB8koZ+W5Zu1N0gs6i\nICZVEEE/UiYkhVkK1pHHUHHYZmgwrnBO+AJ/hVYfYpMJetnGTxQPo5FDxLaDVFdHaBXmKvLAdWZp\n42OepIVFju6NYL1SoNG+jmpT2KCGONUUMDAzcxiLL0lQ2mRtupXyLRlCAs1nJjgjf0k3U1hJs00A\nOymq2WOTGsL4+dn97xK7UgNnCpQ39ER0Ljq803QyhZ4S87SSEBwE2eJU7C5p2cJd+SjHuU2bPMdq\nKEQq6YBNEUN3Aqs/TmbfisOS4CQ3OZm6i1HOEq72sC7Vcig9jiObZtFeT//eHPYPsgifgjAJPANc\nAmOqgFKtUqNu4k/EWbbVgE9hwd3AnuDi2fL7vJr+DV5DmHpWeYJPKulClQVaCAt+4uteDP4Dvi69\nRgE9E/SQEJzkVRM1Dcv068YIFwOUZB31whoBthniLkZy7OHi6sEF0Av8gftNVg8a2Lvs16gb50vQ\nLtL4nWm+2/EjykNlPMfDHDj0XC2co6jTU0TPLO1c4SITnx6FCZGyYCC+42V5tY1lpYU9k4OY7GIf\nKz52qWWDEBs8k7rC4NJDfJkYbvsOJUGmaAe3lGTO1kQCJx6iJLHTUVrAMpOnMbdGyLjOA0s/LvYI\nlrb5kfmf8sPyX/CZepHPEheZTPdRskjoKbJJDTO0E8NF2m3A4DvAqYtTK6xziAdYOGDdWkO1PkZC\ncFLDBi/xNtFKmKfPNkauViZWctJoXAbgPkfoYgoncfzSNqZMibGudgKuPSjCui/IIs3MCu0srXew\ns1HLjKOVqNXJdFUbD4RDVBPjBd5lkBFucooNfQ0DwQeIRoWk08IX0lmucoEtgszRTgQveoo0sYyK\nwCLN9DBOAid3OEYd6wio3GWIh+l+qvQZHMTRUSTANgUM7OCnhA7Q2JRdxSliUjV3GOILzrPyHzsR\nzALNjXME2aaaOB4iuIihItAYXUMX0XBZfAbCNMjxMsJV4AowCyQgf0Jm2dYAeoG1jRaKo2Zq2lc4\nHrxObcsKPmGHOE5klN+5Q/u9H2hHf/AEH9x+CWXKTLFVoEOa4Sj3aGWOMAHmaaOPcTxEURH4Tvkn\nDByM847+KwhAjbD5iBKuyTYtbBNknjYWd1uJRv2s7bSQv2/D0xKmVZqnSVrmMcNnVAsx/IZdZFOJ\nkh2+7fkJfcJDgmwTSkWYMbURw8mmUMOX+tO8IX+V/6v051xXz2CT9smjJ8QWp6fuoZ8rIyiQG4BS\nF5SaRZaNDZVVqg0jeU6m79FSXCKv18CwPnZpZomj3KWXcewkcSZSGC9rQk3OgdIKa84AHwtP8hrf\n4PX8q1zfO0N0o5bssp2sU+ao/i4ikMdIk2UFvV+hNAgrVXWAQEEwME4fJrJ8P/Fv6NxcoM66Quf7\nK5gmFZgB8SoIb0H5BghO4DCUn4Rbjw2w57bhf2tPu/AcBCEB+tosVmmfx/iMI8J9qoU4fnY4kblN\n3WSEvYCdyzyFAATZotayxvPVv6FHmCCHmclK0XeWDnIYOcEtMlUmYu02YlY7dcIaPnYZo581ahE8\nRU4LN3AJMVYddeSXLFDW7nNM+gMsHGAmSwQvdznKXXWIbSGAkzgRvQ+xVuHJxveJ+Wxk9h14nDsY\nhAKjHGKbAH08pI157GqCpNFOrbDGV5Y/wWA/4AP1GWI/DsIcKP0SbvcuL1t+xff4O44mR0kZqnjP\n8DwfSE/zpXCGtMFCxm7AKqTRmzOsdYdw55NaCOgCbJ5zYCrn0MlFFuQWAvkw9W/tYLuRwydF6YrO\n415IYbxfxNEYZ0VfRwuLFNCzi49RDrGQaaW34QEvy7/CVulS1rKOWxdFcaHpPJikQbfKnuBmnF6S\n2DjFTYro+ZIzrOVred77Ds/zHo2GZdxnt9g77MDpidLeM8k3TL/kCPdZE+uwSiniBTcbb7YxXjzE\nhiuASc4xPTZA8V+btGO3AwFaBUBAnZU4uGFnp+inqXYeP2HmaeU+R7HpYxhcB0w62mnNL9J1dxmX\nKUXOIWCV96kizUP6uM0xfJYtDI0Z0m4z7mia5tQqwZt7SALMuZoAgbxgwGbax2GJsaWEiItOSsjY\nSWElDXqBNv0sJ4VbjzQwXy/+A526aTyCxhB9ksu0zW5QcIsMcg8QmBXb2UrVMbnZz4HLhIE83Uxp\n1BTZQfv1FfylPQQjCDtgcacZ0R/i/exzJKM+VHuBZCRA1qnDI0ZYpIU0VqrIsIcbMweksXLTfJxP\nLBeZF1toZJVzfEEv45Xfr+JpLhNii1na2SZIKwvkMFZ2vlqVZIsQ69OtrE62sVYfxCvuksLOJD3Y\n0OoeEmUyWFAlkSI6dvHxwfTLqD+SEAZUbE17hAkwSQ/3GaSMqOmM7FFshZyW6t6C5Buw9xEs3ofd\ndfAbgQIYj2XZCvmRKSG6ihzquMM3xNeQhDJRwc0+Nsbop4zIzl/+p3+cR44P6aX3+D3WlDpSRSsm\nXZYBHlBNnHpWWKaRa5zFQJ4vOYNBLHDI8gARhTNcZ5V6fsk3KaCs9EXpAAAgAElEQVTnHF88WsUE\n2OZl71vUs0oCB8Ptx0ngYJlG7CRZpIl1ajnKPb4p/hJHVQIJhb/je0wKPXzV+SYPGCBbUZOsUE9E\n9ZJO2RCMZQ50JqIVcqOuq8DJ0H2WrSFuiKdoZ/ZRN66nOMFHuid5iz9AqFK5uHWLLUuAKB6OcpdV\n6pmnjRwmXGqUur/fg2tQ/JdwY2CIMD7CBLjOGW7snKaYsVDTtMh2KYSyakZPkQ5mH3mo4nYL0VPW\nyt1WRjtyVWvJCwZcxJAKCrqr4KvfhwXACeoREHTAEog9aDLCahBTIAgqw9Jx+l1z8EMQLgGHYL9s\n5TMeo4klJBTyGmWRYkmHMF2g1zvDH4Z+Rbpiu81jpJ3ZR/2/FHaymDjFDZrUJWqFNSaEHiakXvQU\n+CN+UfFoaV2gWnG94pnrxumKkupyw4JANmMBi/AI5LtMI1lM9AujTCi9fLL1FIhlXN4oImWetn3I\njK2DbNlEQdCRx0Azi7ycfxvXwwM2jrhQERjYmWE9EOA18eu0MM/KiXaK94wYnWk2N2sIhML42eFL\n+3H+nq8zTi8X+BwDeT7lEpN0c4ob7OFiTOin9OwndNmWUYKwKdSw5GnGzzY+wkj5sqYZKYA4CqRU\nzbBtAv/EHoGhHT4QnmGNOrKYqCbGn1n+hu5KKT3EJtXECOPHRBaXEEVFZIg7FNFxVznK1r9rIf8d\nI3mLgThOjOSos2pwgAl6iFHNSeEWx3XDTNNZCZlMUcea5uvjFAcmA75vL6OUREoFnfZsSiqcAd2r\n+6Av0+BaZn6jHaFahykQJ2Tbwk2ElQrgeIAHhNQtSoJMUrAxYhzg0OFRtg1+PuQZorhZo5Y7DHGM\nO/jZxqwesCUGSNVY6VxcQQ1Culmmj3GsQho/YT7hcRKqi5PSTRpZRk+BTqbZJEQBPUe5wxmuU6rE\n0cd1vTw/coXnJ69AB9rLWgeN6hLOQoJbhpO0M8fXvK9z3XuGi+oVXj14A0Eqs2JoYFZo59Yz/VSR\npnV/kWJA5o55kBYWeMH0Dm+2fxVZKhEUtuhmstJh1FQ8VewTxcMx7hDHyU1Oasesqp2Twj+jc2YN\nHPB9779mTmyjjjUm6eIN9RW2COIWojSxxB/wa2Zpf2RgoCxgOBzjvHS10s0L4mMHAxrVxk+Yx/mE\nLznF51wgj5GazgUMb+c5xm2ymHARRQDWqSWLmRjVvC5+jZNHbzAUHke0gn0f7EUIZYAsqN/VQMyK\nQ6vjxKjGJqSQKfEF57ivDrKaqOewcwQXsUpW4v//6/d+oEmU+RP+IzelEzyU+imi4yH96Chyh6FH\nzMRNNcTd/BAHBjM+YYfv8mNGOMwiTTzL+3xWfowPeZpz4hfIFHESe0Th+M9U6lm1neWtJp4JvU8/\nY9SxhoiKjx1KSLzLC9zlKMcq8kszWTJY2MHHAq0s7zST+6GD3IGDv7nwLzBfiNHpmEQSyjjsST7n\nAtc4y+dcQKbECYZZ09URxY2Iyhp1FHO3OaLcp1laZEB5yIfSU+xTRU9hksBEQpNCnodko40VGkhj\noZV5QAWfZts2kWUgNIo9lOQx9QrWcpr3xec4z1X6NufI2yQ+sj3GbY6RxM6d+FG6qqc5zZdkjBYc\nOzmwgXoIBBFy7QKmFRWOAN2AHjBDsUPETpJj6h0Kl0QMN8oQh9KQtvssISNTqggjlwiyxWX743R9\nfYqB+TleLLzLkr6BY7EHbFe5WdHXV3x2jaxRRzUx+hnj+Zkr3O3sZoVGchixVOLCwxxHpsQzfMhD\n+rilHmd48SzOQARjyz65iA21KJItmxgWj7ODT2N8qgLT6W72hz04hzY5bh+uWJKXKCKzmq4nOlND\neqCKr8n/gJsIvza8xJnB67RF1imLKls+F8MMoiLwEr9h54Kfsfoh6h2rzI72kw8ZuMJjfMolFGSC\nbLOHmxEOs0nwEW3eSI55WojLTs5fuMpSRdLqJI6ASg3r7NTYCX09hhhX2Rs0ExOciJQxKAVqb+xx\naeYq4U4vs7STxM4GNYAWrAixhZ9tVmgggQM/YTYJ4SROCwsaBLgoQwv0GccY5jhvHfwhdaZVGoQV\nznCdofIdboknqCLNY1xhlXruM4iVNGP0PRLAPtwfILPmoKPjISHzBvfiR8h8YYcaqPZGySsG9BRp\nqNESnzZSJLFTRIdIGRMHnOU6fe8ssP64m4dV/RjIY9ftoygSq1I9SzThJsoZrtPCIqgCjr0sqeoM\n41IPtuYUzmwcWzzPpjvEv+XPcZCgqOrYmGmjtXOBbiYJsIUAjHCIKbq00w8SHGeYodId8qoBPgbe\nB15C48gWoG5ij7HeVqbppIyImwiv8AaPT17F8p0iQgv0/E+LxHqryWEEVHImPZZkCY8pQmN2BdFY\n5opykc1sCJM1ywYhiuh4kXcqicAIX3CeanWP3swEtYYNIjoPrx+8QsxSDWFQXGAQ8siUuMZZpuhi\nptBB9sDMqHOAA0yc4iYZLKSwYeYAvS2PQV/AzzbHuM0YAyiVInkWE1c5h4MEDaxwiFHcRFijntUK\nr3OQe/yF+m8QhTJRxU1zYYlNY5DbwjFUBA38bAS+gZYVENEABUO1hFKaR09BqpTR9exRTR4jBiFP\nlSPNWrmOvV0f+lLxd86D3/uBFlZ9TArdyCh8i5+TpoprnKGBFUrIZLBwXT3D0nw7Yhmu289iCOSp\nY40iOkDgCT5CLxa4yUm2CGIix1Y5xHXBxGFhhHIFLioLJWqDqzSwTD2rnGCYCXrwFKP0LczT2TyL\nXl9giyC1yjqt5QX2ZCc/E8xcVc/h9Oxx8MdlyjGRHEaUrI5tR4CrnHvUqykhca18hnAywIdVT1Ot\ni9HMIvtY2SaA0qQ9cC+7jEm9VJGmjlUCMwmYh/0/NZKymthFc401sUwdq9ziBAIqPsLM0c5LvM0/\nzfwnnJ9lQIGG51dRJZWSLGCcVhjsG+WO6Rj72HDb9tgqBpnSdXFW9yUMwsGgjojbTlUxgyiUMZnz\n/69pOQbcBjlRxvRkjvatFVQRVn/sIYWVBA5OZIdRjQJTQhcdzLCLFwsZXOwxLXQRbfOQx4CKgFKU\naBjeoUHaYeFEgLxo4DjD5DEQxgc5TbA4QQ+NLPMsH3B0YZLF5iYOBDNNaDHqtXItrMrEZ4NaNSIN\nuXdt3BQuwZkyQ93XsJMkI1jwmHbIN1g4Zr/N03z4iBAxTyu9VQ8xH7ldIbWMYSbLW7zMlhjkRe9v\nqClp+o4QWxxHU3U8x2/xNu1SQmI+1MMDDvGzxD8hlbPzmP+Tyso7zVmuMU0nBvIcZgQnMTqZxkOE\nVnWO1sICiioTNnpoKKxhzWe5aj3FWnOSelbx7u5RNsjsm6woosz+MRnTfomj5fs4xAQKEhE8jxZi\nCiJh/OQqyd04TkYZwEEcE1l28FHSyQh9B0REDxOlHpIf+pk7beSS7xNeOngHU7bAmKuPFRq4yxAK\nEl9wnn+v/JesJ+vw2cJ0yVP4DGEWb7tZUtqR+wskJvzaPasV6tVVbPoUVzaewGA5YNB5HwWJHEYS\n2DnNDfoZo6a8idoBI1UDVJFmiNv0fzYHAhxc/DXXOUM3E9SxhoJEY2adHEbmpDbmaCPANjXRGFlB\nxzaBR7URk5DlbOdlOpl+xOB8I/U1ckYDql5ggxrOco0sRj6RH6eMyCvn3kPoB9UNwn1QG6FkkSo2\ngxitzCGgauT4/RylLOgKEAlp5PlT6/eR1TKzdbU4nAn65+dhChqfWuVZ4/vcNwyyh4t6VulhgsOM\nUJdfY8NQQxEdnlgc29tFehvnaL64iKxT+IyL1J5fZ5YO1qlFT4EVGjRhbcZKesXJB5mvMO2Zw2uI\nsIeLHAZq2ORY848oIbNME0X0+AnTyDIRPJzjCwRULnKlgmArEWALHSUUpArrMs1HwpN0McX54Tsw\nCvN/UsV1wxmiuGipXcIzl9aMHmU0mW8dyChM21rZxcsoA5XFlZ0+xtmjms+2L1E4MEFcDytQ9OV+\n5zz4vR9ow29eZNhxkY4LI7ToFh71KcIECLGJl11WhXra2uZIU8VYth8RhXlaWaKJCXpIYqeRJc7z\nOS5ifKpe4svfPIGhZx9/m9aUf573tGSd0I6LGI3lFc7fvkNwIMyCqQldZ54MVaSwksWEXChTlS2w\n5xRI4GA/ZeOc/SqvdL9JkC1+w4tc5TzJkp11tZY7uiEM5LmePk9izoerYx1Z0BxXh3gAgI4iKWwY\nyNHMIs5MEvdenFI1bHc4CKgJ1q0+1tF2dSnsjNPDMMe5zhkWUy0MWB9wXBjGxw5SuURhSETNC3Tl\nZ1B0MO9vQPULNBys8TJv8SkXaZEXqFL3ORm7TcNsmNyQSNYusU2Qok7m5O0R7WHUoN2FbAL3QRiB\nRiUMdig1glRWCBZ3wSBgipQ4X/UlmWoLJ4u3UBWRFaMGHDaQZxcv1cRwEmfX5aC+vAsCfC5cYJJu\nnuV9XlLfxiJkGD3Uxj5WvskvaS4vohfzrDZ5OMI9nCS4xxFAxSXFcB7fJv5uEP4WCAIRtLu9AZVB\n7rODjzXqOCnf5F5r4ZH6w0CeUfrZwcdIZhCjlKPXOI6BAoOleyzJTeQxsEYdJVlGT54gmyhIj2SP\nZ7nGMMepbtpmQWlhZ6Ie3+FlUthwkKCVeQa5xyQ9LNFEFiN7tHCW69hIUVYl6mcjlCSBm93Hcagp\n/JNJqo/tsSWEkFCoub6HdzmF11Pxa3UDG9BVt0im00wKG/YK2/JzzjNSHqRWXMdJXHNPscM5vmCR\nZt7gq2SoIpm3I6oqs9F2gu4t8IEaN+Lz7RI1O7GbUxWcmg+RMt8p/RSzdMCflf5vUr/ykX/RiNe7\nS0mS8Hx7lTZ5DhNZymdGiBx3o5Rl2mUNMmw0HdDnHOMSnxJigxI67jPIBT7nTOIW+nVQTVDPGk/E\nrrDndBA/ZUQuQpBNnlXfRxIUyojEqeb9qifYrdJMDjN0kMBJqtbOIs38lG8jUqa9cuR+mAcs0MIN\nTvGAQwz/+/PQJXDsmc84yl06mCGMn2k6aWKZbKNMwSITsVZTa45wvfMYk2IXAzyglnUNkcWWVosY\ncBL4kzgAViXNidURpASUakCihCORhhjsXKjmr4zfZ5pO9BSIlaoxyjnG6COJnVZxnsbYBnW6Tcyv\nK2CC8BE3k3TTrx9jmQa+yd+TwMGTfMQFPq8YuVdJV1dBNegpUMs6NlIE2KaTafZwVaS/W/yE7/B6\n7lWeNb5PDxPM0M4DDiNQJoobO0n6GeNI8QFueY9jwm1MZPkNL/IF55BQONIwStVaAbuimez9hIka\nXLgdaYR5YAIYBLUZiugeCXw3qKl8lmVOcYM52rg89bIGlMgDaSipxt85D37vBxpvA0+BQS1QQE8/\nY1zkU37FV/Gxw5/mf8SCoYXrnGGMPuaFVnbx8S5foYklLnKF65xBR4FmlrSjGiGHUF+kvX6Sc1zl\nmfTH6JUio/Z+9BToZ5Qz4TvwELqr5nG1R5nVtzFOD3ZSOEjyuekcq6Z6bnGCZRrRGwvMK60sSZoH\nrIcJUtgYV3uZGh9kRh6ku+8uUrFIZ+8Iz+veI4mdw4zgIcIadcSoruxk0kRxE8xEkGOwUefjFid4\nofU9LGRYpxYFicPcZ5Z2bqFZrlFVorg5z1XmaOND6xMcto6whwsJhb7IDN0Ly2CEO4d6Ht1VXVSv\n8NiVYbiJVoxtEDHICvvWKgJKGGkYbZgZ0VJuBaAb9r5nRyiXqZ7fRwLs+RSqIoNBZa6unrrUDj7C\n6Et59Bnw6CO0ZFcwKjlyej0fGJ/kr/k+XfI0/8X5/8A9jvAmr5DAwX0GeYKPcBLnUy5h4oA+HtIX\nmyXscHNNPosKjzTyX+FdnCRos8zx5dNnGM8ewdK5T3bPRHlbDwmJT5RLCBIUynr0YoF4zkHIuIGb\nKDv4AOhikjVLHQeYMZBnjjaey3zEN/SvE9PZceUSFHQ6PjU8xgLNnGAYuRJB72Fcc9VJcXTlIsaW\nferMawCUEbnCRZLYkFG4wkVSio2QtEmGKrIYaRKXOdl3Ez/b2EgRNziINcbxqbsYhTweJYJQX3kW\n76Ktgo3APoxd6GCUfo5zm2Ua+IwLTNHNxMhRJH+OZ2ve0XanVGEgzz5W9iuDNhypRXnLjNIAvS99\nxMFRC5k9O59znk1C/MvC/8F5rnJ6dxjncgrZraK2jvO84T1++RU3p72fEVVdrG83cbh2GIEyKaxa\nUb1gImjZIoyPLCZedv0KAzl0ld6ZixjP8VsaS8uUJWAThChUNabRb0HN7Tj7p3TsWD14s3sEVG1w\nrhlqEVApIyGjGaWN5LjHIJd5ig5m6GLqEej2ADMJHNSxhoqAnSTKfy9hVHPUsaaZBPZG2TIHqDNp\nw2DE30fbwQLpko1fdw89qhME2SLEJr3ZKWpXd8nZJK4Hj2N/7A7mkSL6/TLimPb6KtdDQTVg+FKF\nPIwc72EXLwnsGohBvk4SO2ayeNlhUdfEVnWI55Y/gVtogmOddt/dyDIdFaOHobKgWqOOelYfmQRO\n8yV5DBTRkahgrIzk6GKKIFuMcBgBlcPGEYzkeIcXqGWdE9yqnGjBHi7tGkMtc2z7Iaoq8NPQK1jI\n8K+U/xlveRedqQhHIGs2MITmTvOn97SI/km070bIt8kEk2E6VlbZq7HRZZ/mHfl5DBTwsItEiboz\nM4Tn6jBXH5DZqaL44HcPtN/7lCP/5AdUfTVKm1XzKiVw0MgKfTwkj4ED2cIiTVzlPFbSeOQITSzT\nzRQqAmaybBNEokwzS0TwksdALqAnLxlRBIlqfZSM0cwYAxjIYSJHlzqF3q6w1uvFWszQubpKpziJ\naFQooqOaGDv4eSP7KnpdEVlUiGS8zOtbuaaeBQGe5bdckD6HgILel6GVeTpMM/RLD/Gxy3XO4iSO\nishD+gEBIznspFARWbQ0suCvp4yEnRSirFBVPsAjRDAIecYYYA0NvrxUaGZvs4a9rSDLjhCqrCWQ\nHtLPx2iqdKsliUuJEXM4eMf6HEX0NLNAA6u47XHWL3kxBXIYNhX0C2Vqilv4pmKIFiAK6f8B1Osg\n54E87DzrImz3EihFidZUcc14htv6IWrZIIuZe4ZDmMkSKO2SspoJrCbQ75RYrKslLVvIYWaWDm01\njIm/Uv4Fs6kugsZNTOTICUaspMlg5oAqFmhhwdzElugnQLgSBDqNlwitLOAgzlmuccF4FcehKPba\nGLk2Pf7BdepalgiIYY3XKVznVV6nQ57lOLexkmaJJvQUECrHz0e4h4zCQ/rxGHaoL2xQE9vFup7D\nljlgxN3LD5X/jqxoZoBRBFQeMMhtjuFll5Cwhb9qi3rWKCITxc04fegpAiqr1LNdCLKQaueLxYss\nmFrwGcKU0GEkj4UD7jLEO1XPoxfydDCLXC5xYDUjuBV0E2UNl3YU4odNrFtq6M9NUJZFJulmHzsG\n8sxu9WCrifK/6P+SCbWHX6S/jd+w/Yh/qCARjXsp7+hgA3InJKy6FFZrkvVSHUnRzjO8jzcbx/az\nHOLPgXaQvApmwz4u6y6NrDCmDmA0ZXhKvkw9a1zgKlb2macNj7SLCHgqwt19bDSyzCTdjNNHPw9x\nkMScKyDtAWmY7W0m7rPiW4gh+FQ8C/sY/k5BcoOxVGbB0cADDmEhg4r4SA0VJkAKOweYWVEa6RSn\neLH8Ds8uf0xvfJKgaQtZLhFiiwHG+I7wE47kRrGLCdo/XMNaTLMWDGl2gNgazp9mCdyJYhhIMy+3\nAgIlZEClMz/PhstL2mZmWwyw7zOj9KiUrWBeLlLoF1jx1aJXCzjn0pTqBDaCQa0/R5ZJegAVM1la\nWOAEw7TtL6MYILQbQViH0uMCabeBHdFPNXGaWAYEPER4QXmXiOhlim6S2FmhQSs5M80WIcbpw8wB\nRfSIqIzRzxUucoqbnOImFjK8WfgqddIa/TxERwEraVYqpJs9yUUDS6y7/fyMP2aZRjxihIRkx1HY\nx5zKM+tuYox+xull1VDLlteDt3WXchfo5svI+TLGbQXh12Aez9NUWme1OVQZ4BGm6aJZWuSY9yad\n1nFsgQTJVgvZ/+2H/zhj+92/eY6n7R9wmAf42QEEmtQlDmXGeajv4QancbNHDiO7eNnFRz8P+W7x\nxzjFOC5hj35GmaOdUQ5V9ODrJAUHqqAVA81kaWWBXXzEcLFIM23yHKHtCDqlgCSDPqOAWGa1qk7D\n6rDCGvV8MPYCYnWJft0YzxneZ09xMbZ1lBb7LCBoRW/SPMbnmMmyj40Jeilg4KP1Z7i7e4I5eyuq\nKPAUl8ljIkNVhUZ9wAS9JLEjUSYtWOmdXQRZ4EPTk0zTxSYhvEQQJYWG6kUa/AtERQ86ocRR7lUM\n2ppx188OBnOeEUc/JrIMch8QGUw8RHdN5WF3Jx97L7FQX0+Nc5Oqz/LaSrMVSMH2a/DmKhzxaj9z\nhvcJJKIUJZF3Q8/wFi8zwuEKmTtKopKWm9W1Mit00CCusutxoQoCwXCEuuImDlMMBYkbnOaz8CWy\n8w7Cm7WUa8qE2GSAMb7kNFe4RB4jfraxkyRfQTr52aGHSW5yghWa8BDh2e3PUa0KP8l+h1zBxB/r\nf0YnMwiouCoEk6Pc5SvZ9wmxQVJyEMFDP2MECLOOtkNboplq4jQLSxjkLN7tOGU3rNe52RJCeMQI\nHqIcYEZEJYyfLCZSWEliJ0MVa+U69ELxEX1GRGUdrTvpkveIKdUc7Nt4KfQrTnCrkuKr5yOeIoaL\nPMaKwy/CfXGQG8aT+Azb2OuTlFtAikG41s2e5KJ/awrRqBCRPdzlqGb89sY5Y7zOIUa5qZ7ATIZ/\nzl9zXBzmHNc0pYizhkSNDcVipLluBhCY321j0HafV3mDE/k7WKcK2vHtGcAH+k8UmsPr1LUukxDs\neIUIR+V7eIjyQuk9DpXGuC0dIy8Z8BBFrOiQEjiYpgNzpUahIuBhF0c5iWstAy5AB05znJS5Cq8+\njpAG8bdQ/ncgBuGgT89PbN9iHyvfSr2GV9xFkSTiOHl74VX81Zv4CZNTTfx5+W948lfXsf2PGQwJ\nBXVQRTKX8Kq73BROUsDAk7++RuODTco9cOdQP3/H9wjjxy/sYnBn0TlKVNkyzJk1GWcGCyV0uPW7\nrMr11BS36IwuUp1MYMyUcNzOIDyAwqAMiEj6IpvtXkoBgZC6xUBskqcmP6fLO4EiSRxilBo2sZKm\na2qJYCrCTpudrVN+3vc8wbpYh548rSzQyDIiZcboRxKVCrpvEzNZFmhFR4lGlhGAm5xCRwlj5Yh/\nim70FGhhgWm62CbIl5OPI3nz+IQdEjgJsckuvkry8x7VYowtKYBImRk6sZNARkE1qgSVXVJVFgSg\nhUWaWUJBxinH2PQE8Apx2EUTrNYBDsi1y8xWt7CPlV183OPoI6DzJjWU0JGWrMT+1x/94xxog//q\nSb7Kr3ip9DZJ0cE4fTwQDnOgN2owYPUaJ/PDWOQM87QRYpM+HtKuzNMzvIhcmyMieJFQMFDgGT7k\nhewHyDrtnPk/v4i2CLFEMwOM4iZKlZimJbeK/mdl9Cike2RM+2U8pjD7ko1/4GsMc5zF0S6yZRsd\n3gm+yS/JiFUsS4006peJ4uY+gxTQc4T7bBIkgkZUryJNWmclNh0kYbTTZZvkGT7Exj5J7IioNLBM\nLRvkMJHHqF3kmrY5MBmYkHpRkFmhnioyPMHHtAiLJHCQFBwYydPEEse4ywCjlNDhV3YIPoxTa9og\nZFyjbidMILKLOVok06rjbeuLLNBKnGqc5j2Crm3EarS00j0wjoKvDM5/DpxFgym7YOpYEx8JT1JE\nTwobOkq0M4uHKPXFNXRSiU1qMBkzRHRuuqfmMX2ooFcV3IEIAXGLbSFAxOrm1dpfMlBzj2rilWrG\nGioiZg64WTpFXKzWhI4EmaGDXsaxsU+aKk4wjJE8MauVMfox67I8qf+Yb/AatazTyQxPlj8mLVio\nJg46lS+lMxTRU0JmlAHucZRJushQRQQvh3jAAKPUFjYwxYvM1DZSlDRSexvz5DAxTRdZzDhI4mWX\nUfUQB4IFOykiipfVTAPr203UOlZpYulRVNpInsP6B6w5QmQkC0s0c59BHmSO8NnrT5MNGblovkIc\nJ/O0cpchHGhl7RV7HRG7C38iRtEs8dDQi0+/g3c7AY4SYSGg1RPEh7zAO3QyQ58wzlH5Lr3ZGazi\nPiVRC1UdYMFj2cFQk+G8eJUGYQVb1T7f4hc8zWUSOjsmXQ79rALzaIzBUWABHO0pfut5WnuREWOD\nGlpYoCDoWRdrqWWDOtZ5mbcoIXOLk8wcdDIntaMXCrQzxxHu0bS4hTgPZT9kGyRiRjvTcieLjnrs\nxRRV0SyCDdSvQL5WYlavkeDbmGdTF2RGaKeNecrVKjaSBAhzSBylj4fYyyn0MyV4Aub76/hAeJYP\nhafZwY+TOP3+MUSPlug1iHlUk0oCJ7fk49xwn2Skro+42Y6CjIJEDCdG8tRXGKqmcg5vZA/L5QKm\nqwWEde1/RpcuU7WSxezPs2X2YVNT7Ih+FszN5KwG1swhSujoZZwEDnbxshnwseSuJSk4+Eh+gtd5\nhdscY4M67CTRUcRLBAsHHGDh3Mgd6r/YZqKng1/yR+zhYpMaEjgRUPGj2R9kFEIVuPs7sRcIm/yc\n4wu6fON4hAizdGAkx3eTP6dZXsAr7nBibBRZLSNbCoTELWQUall/1Fnt2lhgy+0lj/EReq+OdRpH\nd/A+jIMJcidEpILKRq+HK91n2ar28dLNywyujuKu2aVRWGaNOkYY5IF6mOV8I9upEOW/+t//cfbQ\nxjP9rFrq2ZRDJHBQTYxqYgTZooTMqtBA0mjHQZISMvc4Qh4DZb3It4tv4MrGCJv9BNligAe0qfNI\nYgkr++yiJe02qNHwRGyyTCO7eGhnFqGEtirdBF2pTM4hM6Xv5HPOs0o9T3GZ0DObjKiH+Wj3Kcpe\nkVd4g96qcSbpZoV6episwHIDrFHPGP1Esx5mTFBrXqPu3MA9UgoAACAASURBVApJUfu7xugniwkb\n+/gJY1S1Y7ciMhvUcogHFIwydXej/NeBv+XDhkvYSJHBQg4jdaxzmBGOM8wAo3jZpWlrA8NUiZad\nNXQxFRpA71ZIOh1UL2axTuZQnwPFIdDACs0soiKQpgohLUBMRe0HoRWMTdAgACKU6wUSbSaqtw9w\nKnEGxAfsY6vsCLexkqJjchVxCkL6GD2+eXQzZcq9IN4FHDB+qoUxXR8vLn3IP6v6D+S8Rl7ibXbw\n8TqvPormj3AYMwfIlDCpWfYFG23MoaPIKvU4idPFND2MoyCTwUyQbV5U3mFDqiFdYQT2JGcx3yzi\nO/saBb3Il7ozbBNAR5Ewforo8bHDdU6zTRALmQrN8c+oNawx2DHCFJ0c5zanczeIGlxMCt3oKHKX\nI8zRroUvhB1cxDjAjKqI/D/c3XdwXemd3vnPuQEXuMgZIEAAJACSYAQzm2w22eqoVqul1qgVR5I1\n5fGMrUkej+Paa693116P15Ps8QRZa4800kgaxU7qJLG72Yls5gQSBEHknHO69/iPi2FtlVdb4631\numbff1CFKhSrDs95f7/39z7P95l9r1xOw6wdrt2jK/Soc3F9YhBEMvEqFyf3mXq3OhOgeo3pB4st\ny7LLFTEpk4qFAteCnUKBDcGAF3ecNK3Q0cX3VH97ApRXj/lbwb93NbHLZXvsctWoCnPytNnuTO4R\n93vLqDLvOioUOOysisiIuzY76XUnvWFBUvs6I3O8otT2T99S/J0Fvosu1BH9Gs/8yz/3+76kTYst\nbrkb2bQe01IkYUXUmqiUbW66aK9Yck25EY3uuD98S9NUn7VSog2kshnMrdAd1GuzzSseU1Y15lc/\n/XuOVl60WhsxkVOgXrdZ+d5LHHLFLt+e/aSmvNtiQQYj1+iODQYMRarYw6HPXCNJ0dqMovikjaLK\njTjijGiamfq4wo5VRcvTnlp9Vm98o+972rxcORZUGVKjX7PbXvGofjX3wADvZaV8qPEFB+7eyCSp\n58hEqWxkYXdU1mpK6/l2K9lRP9hx1DuO6i6oV23QbldMKJa04KD3TYVFng8+BObkOel1oypct8ML\nPiSQVmnEIWc1upOx1xQzLzfDkpR21iFRKVMKTa8UqcoaypDyB3cYe7+CskD10UG5FjzmTy3KMS9X\n69xVFZemFG2bNlxZIrISCtqpHJ2Vu23Bx4LvGUpUuWK3TSs9TDGtQNNah8aLA3r2j6r7s5HMxl2C\nCRYL47IvLatdHDW557YL9pupTSq+Mi8rXDatEKGolFQYNT1fKpFY8tOE+3/lC1pr7kVDKp1y0pJM\nTEONPtUG3bLVqHJTWm1218d8z489JCXqkj0KHpxxMHXWSafWi+GkIEi7mthhTKlAqNC0tMh62myz\n9+YOO5r3rpg1vfWlNn54nFnGY4V+lPO4RZl7nRVx/8lfc/fcNmulMTV1XZm5s1JDql22x/S6UfIv\nNuY7miykk+7Pecv93tKgSzSS8gf+plu23iOLD6r2R35BLFj1QS95auZlFwp22rHQpuzMHCkWCpNC\ngQedUmbUhqVBK4ksO4LrItI2LvdayErKnlnjO6x+IxTfhc+xtpcVWYLTuEx4hPyJFcU7J6T/IjQ0\nlRbtD40fztdVVWtfX5vgGYJreIN0a+DK/p3yCmcNBdXWxKUFtrmlde2i3Pk1kTa0MlaZr/zLs9zK\njIz0oY6ReJk+tVZTccXfnvH3f+Z3ZCWWrZbE5K7jdXMs6LRZIPRU7Nl7TUeBGWPKvOeIA855OvUD\nM9F8V+1SYcSShFhkzaIcgdCibFtT3dwi+9iS6VipfLMe95Jxpdpss89FzW67ZqcVWRJWvLryqLHX\nalSf6JKfO+euzebkq04Mmg3y5Zv1mJcdd9ppx/3bjt/Q3HRNvR7XUjsN3G4U1K0q3zQgz7xC095y\nv5SouFXX3z9Ae2CoYxOXg8xp+H48SaRixS3bLEoqMK3FTbtcdbz/rOh8SpAMLdbmKDStZmo4s5G+\nR+XqDFso3/aO++IX5LXN++bRTxtX6knPO2+f25qUGWN9QvEXycFHveMXO/+jnMFlI4fy3Y43e8v9\nHll9VdF/WMh4szJ/xn5mfjXLv/Yb3nBS0oIHnbLTNaXGnXH4Xor5pGK55h3ztoV1dmCpcXPy3CrY\nJCu6pDp/yLvxjMiq3Kg5medbr8tAtNqVh2fNBXm61eu10T4Z9e23fNJgZ4OxDeXqyrvscVmBabc1\n2+mqmlSfVCuz+dlS0YiPz/9QdCX0UvEHvOJR18v75FiSt23WVbttMCDXvO2u26JdRChm1agKuxav\nmc4pNCdPmVFN7mTg6EuzvC9zgv0C4WaGKossJ+Lq74ya2JK0HI+7YJ+Xlx8z3F1v05Yb3l074plY\nhiojzIAKPuqH4lalBU477gVPGlFuZqFQbnzesfhbLtujS4OlpmyrTXH/euXv6bjdYtuOK+bk2aRT\nkWkjKp0fOsh8XOr1LK7j6dBYqszN6DZrYtIivjD/p+ouD7ORaCw0rlTHwSbHxs/K+vNQ3mBKXuG8\n0rJONRv/vcL2RV7hvqILzm3bbXpXsYlIkbr2Ea6sv8MJCu8sG3mgwGwkV686fWr9Sd1nVdUNybJi\nSqECs5lopchrykrHvO6kd35KPfgrX9BCgQE195Koy43KM6/agGmFetS5aZtVcR/xrEDoRU8YU25Q\nlfboVoWmrYrfg9lmvF09umxSalyRKS95XF+q1loYl7Dkqp22R2+YvT8mmmY4p8IF+xz1jqQFxabc\nScUEm5dlRZfcH834aP4iNXqjXg971XU7FZr2tmNu9m73yxt/137nFZkyqdguV/2G/90lretjsTYn\nF94kGdrqljq9ruduMapcX9aMsqlblHGreLMyo8qMiUkZTZT7s+DTWrR5KPyx3J60ZM6cMJIZpST3\n4ItoZqiiXIFpwWXe/ibHFvE0x4rOaa/N4LiKlmeFOxipKratr1NwSUb+PsjqJeJ1aZH9aWeDQ6YV\nGlLtjkbP+ojPxb7mvrz3XH16l7ej99mi3V9/6s/olCGH349csi3LsSieXiWbpcKoM8nDyox6wosm\nZQzEW7S7qNWwStmWlBkzK8+wSvW6RaQsBtmGVfmOjyMTk9EaXBYKdKm3KktnyaDtDV16CmrkyRAk\n5uWq1esBpyUsq1oe8snEtzTpUGnYS1mP+UbXzxtL1lo4maNBl2mFLgd79KrVrEOh6UzYogVFdSO2\nuSki5cPR5yztfNUtW70zdUx3Ub0qQ87NHSCbqduVLMoY1e8G7Jfp7Fczz7nvUqO8Qy8aUeGbPuVj\nvqdZu6XywEpZroqeWQf/0fWMoTUiw8wbwz7GDyUVTy4oODMvzKVet5u2GVOmTq9VMfevvG131hVX\n7PG6kyYVyzdL6Ypghcrzs3Lqb+qurlc7MiR4j3CKoGH9XThAb2mN11Mn3X1tp9KjPbLzlyQsa9Bl\nWZZ5uTo0iUqZk+eanZBpMNzyenDSTLTAp33Do9FXTSmSbRE850lX7hzyTxv/oSdmX3Y+v9VFe9Xp\nsc95cWvmJf2P/rnje077neVfUxROezR4RUrUNbu845jy6JiRqnEjKmVZsZTs0zTe76Hsn7iak7H1\nVKeH7Lx829reuHMOaNAlZk2PeiuyNLmdMYO/u+rRTW9aKs3ytYJPyLFkV/qK4rPLDOMEalgr4J3E\nfdZErTRe8oInbFiPvZpZLlDbdFu2JTdv7vG1+i+oy+9xMnhdnjkb1gYkFtaEYcyrhY8KwlBuMK8w\nOZNpXg2uhxhvMa3QqDJtZ/ZxhamWIvsiF+yWKWxbs2755tgXzH0jl0K0kNg+pSo6pNS4hCV55vUn\nKwWH10xES4wFZZp0aJm6I74Sck4mx/EEkQOhktVF8rGJhfyE9xwxl51rk7vCLwaC/xRm4pSeYX5D\nlrfi9xm0QZsW9bolLHvPYUecsdtV3eq94QF55uxw3ZrY/38LWrYlT3hBrgUVRhSZ0i0jl+/UaFC1\n7W5o0O2K3W5occvWdYnrLZft1m6rbW5aWp/1FpnSpEOdXj3qQLd645FSozMVKvNH7HZFQ8+I1dJA\n7K3QjoJ2m+/vtEW7qDXb3XA3usljJS/LNystcu9nhWELclUYVe51zW6r0a+6dtCjXtGhKXNsd1cQ\nho6tva0u3uOORlfs8rEbP/LFTV8Tn2JoU5E/iX7eWYf8fOyPtQ7dMtOS1KHJ/Uvv2PyTAWEzF5u3\nOeodR5bfUzC2xrDMyLRX5kOblbmgXaY2OZrZAD/GfZdwF++RHFmx+7F2wdsEc6x8KlBgVnJhOZPJ\n9BwK18NJU2xxy/7JS1KrcV+v+IRxpUZUuGan29FmP/QR93lHiUlnm3dqrL2r9JV5y0ciYitpW6fu\nyC5akvuTRYYoaZ8Xb11Zp6Bnfq6Ka9C1jtrJMahKtmUv+JBOmx132rI6r0YeUWb0XpHKtrQuh16w\nImG7GwrMZCJ7rApSmUDGK9E9ikypNmBGoZGsCndt8rqTjjvtpDe8+Qsn1Aa9Puglh0Yu+UFFBjP1\ngDflWvB9H9WlQYs2v531a0qN+4bPOOyMJdkuabXYXWKxKMeEErm584amq6z+YXbGf/MwvhiqfOCu\nieFyq/M56je12x1csV/GgFynx+d9VX33iDAR+GHVBxysPm9j1WjmQ7nOzNvkNBLfznh2iVjpqsK+\nVQ6zw7XM2NVVaVG3NSsbmBEvS8vNm5dt0Yx640oFEZlImFySDQuemfq+rH4cI/gZmdyz97GPqaDQ\n9uCGrpYmx/NPOxmeMhBkCB1TijzsVTUGLMpxQ4tu9e7c2mnz1mv+if9Zl02+6ZPOOGIkkhEj3Odd\n+Wb9qt8TNgb2hJcl21J2bb9hOS+h1JjWtnbhMH3HyyxGc5QZcyBxzjY3lRsVteYpz5pQLC0wrUi2\nJaXGBUEo6CR/YtVoa7m0iNUgJpofqgu79QYbxa3qV2NYpSXZikxJhgsundyiNt2n6M6i0oIJx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m1J+6oDoc1BvbKL1O/anTq2h9xPxb4a97MzjuZ3zPYiRHlsg6jCBbvlmvekT059IO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zJWLwgtvv/et5DJZDKF/5H15z/7cTL7mFrD7ms1oMEXVj7vQM5Z1cZs0e2Yk4bVhGw9/bKs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\nxBYJ21pM6w+G9MRGzWp0xYtuO150RYeiOiZnddxdUuhlt4+8YC9rl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67t7TiS1vYUgFzL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LpM76tMQ2qaPVejUIe9RE45gXv/KRdDVJZDCciapf0TWtfIlCELPe1Wauq0tD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6lrOysvjwww8DEseLL77I+PHjfcsxMTF8HcAO7J06dTr1XjbBNHYscV/+m1GO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\nE0Us6RtjTBSxpG+MMVHEkr4xxkSR/w/rt2KGLlyHSwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nl = 200\n", "a = 30\n", "ls = np.arange(nl, dtype=float)\n", "power = 1. / (1. + (ls / a) ** 2) ** 1\n", "coeffs = SHCoeffs.from_random(power)\n", "power_random = coeffs.get_powerperdegree()\n", "total_power = power_random.sum()\n", "print('total coefficient power =', total_power)\n", "\n", "grid = coeffs.expand('DH2')\n", "grid.plot_rawdata()\n", "\n", "# Generate a spatial grid.\n", "lats = grid.get_lats()\n", "lons = grid.get_lons()\n", "latgrid, longrid = np.meshgrid(lats, lons, indexing='ij')\n", "\n", "# First, compute the spherical surface element to weight\n", "# the different grid points when constructing a histogram.\n", "weights = np.cos(np.radians(latgrid))\n", "dlat = np.radians(lats[0] - lats[1])\n", "dlon = np.radians(lons[1] - lons[0])\n", "surface = weights.sum() * dlat * dlon\n", "\n", "# Compute a histogram of the grided data.\n", "bins = np.linspace(-50, 50, 30)\n", "center = 0.5 * (bins[:-1] + bins[1:])\n", "dbin = center[1] - center[0]\n", "hist, bins = np.histogram(grid.data, bins=bins, weights=weights, density=True)\n", "\n", "# Compute the expected distribution.\n", "normal_distribution = np.exp( - center ** 2 / (2 * total_power))\n", "normal_distribution /= dbin * normal_distribution.sum()\n", "\n", "# Plot both distributions.\n", "fig, ax = plt.subplots(1, 1)\n", "ax.plot(center, hist, '-x', c='blue', label='computed distribution')\n", "ax.plot(center, normal_distribution, c='red', label='predicted distribution')\n", "ax.legend(loc=3);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }